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Finding the Fourth Proportional to 11,689.72, 16,131.16 and 6,655.17

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Solution

The fourth proportional to 11,689.72, 16,131.16 and 6,655.17 is: 9,183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.72 : 16,131.16 = 6,655.17 : x
  2. Step 2: Convert to fraction form
    11,689.72/16,131.16 = 6,655.17/x
  3. Step 3: Cross multiply
    11,689.72x = 16,131.16 × 6,655.17
  4. Step 4: Simplify right side
    11,689.72x = 107,355,612.10
  5. Step 5: Solve for x
    x = 107,355,612.10/11,689.72
  6. Step 6: Final answer
    x = 9,183.76

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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.