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Finding the Fourth Proportional to 11,689.61, 16,132.10 and 6,654.29

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Solution

The fourth proportional to 11,689.61, 16,132.10 and 6,654.29 is: 9,183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.61 : 16,132.10 = 6,654.29 : x
  2. Step 2: Convert to fraction form
    11,689.61/16,132.10 = 6,654.29/x
  3. Step 3: Cross multiply
    11,689.61x = 16,132.10 × 6,654.29
  4. Step 4: Simplify right side
    11,689.61x = 107,347,671.71
  5. Step 5: Solve for x
    x = 107,347,671.71/11,689.61
  6. Step 6: Final answer
    x = 9,183.17

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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.