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Finding the Fourth Proportional to 21,086, 29,098.68 and 12,704.24

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Solution

The fourth proportional to 21,086, 29,098.68 and 12,704.24 is: 17,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,086 : 29,098.68 = 12,704.24 : x
  2. Step 2: Convert to fraction form
    21,086/29,098.68 = 12,704.24/x
  3. Step 3: Cross multiply
    21,086x = 29,098.68 × 12,704.24
  4. Step 4: Simplify right side
    21,086x = 369,676,614.40
  5. Step 5: Solve for x
    x = 369,676,614.40/21,086
  6. Step 6: Final answer
    x = 17,531.85

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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.