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Finding the Fourth Proportional to 11,687.52, 16,123.17 and 8,495.87

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Solution

The fourth proportional to 11,687.52, 16,123.17 and 8,495.87 is: 11,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.52 : 16,123.17 = 8,495.87 : x
  2. Step 2: Convert to fraction form
    11,687.52/16,123.17 = 8,495.87/x
  3. Step 3: Cross multiply
    11,687.52x = 16,123.17 × 8,495.87
  4. Step 4: Simplify right side
    11,687.52x = 136,980,275.69
  5. Step 5: Solve for x
    x = 136,980,275.69/11,687.52
  6. Step 6: Final answer
    x = 11,720.22

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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.