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Finding the Fourth Proportional to 11,753.11, 16,220.31 and 6,448.96

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Solution

The fourth proportional to 11,753.11, 16,220.31 and 6,448.96 is: 8,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.11 : 16,220.31 = 6,448.96 : x
  2. Step 2: Convert to fraction form
    11,753.11/16,220.31 = 6,448.96/x
  3. Step 3: Cross multiply
    11,753.11x = 16,220.31 × 6,448.96
  4. Step 4: Simplify right side
    11,753.11x = 104,604,130.38
  5. Step 5: Solve for x
    x = 104,604,130.38/11,753.11
  6. Step 6: Final answer
    x = 8,900.12

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Half scale
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Double scale
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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.