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Finding the Fourth Proportional to 11,755.65, 16,223.11 and 6,650.76

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Solution

The fourth proportional to 11,755.65, 16,223.11 and 6,650.76 is: 9,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.65 : 16,223.11 = 6,650.76 : x
  2. Step 2: Convert to fraction form
    11,755.65/16,223.11 = 6,650.76/x
  3. Step 3: Cross multiply
    11,755.65x = 16,223.11 × 6,650.76
  4. Step 4: Simplify right side
    11,755.65x = 107,896,011.06
  5. Step 5: Solve for x
    x = 107,896,011.06/11,755.65
  6. Step 6: Final answer
    x = 9,178.23

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Half scale
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Double scale
Find fourth proportional to 11,756.65, 16,224.49 and 6,651.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.