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Finding the Fourth Proportional to 11,756.50, 16,224.12 and 6,451.20

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Solution

The fourth proportional to 11,756.50, 16,224.12 and 6,451.20 is: 8,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.50 : 16,224.12 = 6,451.20 : x
  2. Step 2: Convert to fraction form
    11,756.50/16,224.12 = 6,451.20/x
  3. Step 3: Cross multiply
    11,756.50x = 16,224.12 × 6,451.20
  4. Step 4: Simplify right side
    11,756.50x = 104,665,042.94
  5. Step 5: Solve for x
    x = 104,665,042.94/11,756.50
  6. Step 6: Final answer
    x = 8,902.74

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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.