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Finding the Fourth Proportional to 19,357.88, 29,013.10 and 13,781

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Solution

The fourth proportional to 19,357.88, 29,013.10 and 13,781 is: 20,654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,357.88 : 29,013.10 = 13,781 : x
  2. Step 2: Convert to fraction form
    19,357.88/29,013.10 = 13,781/x
  3. Step 3: Cross multiply
    19,357.88x = 29,013.10 × 13,781
  4. Step 4: Simplify right side
    19,357.88x = 399,829,531.10
  5. Step 5: Solve for x
    x = 399,829,531.10/19,357.88
  6. Step 6: Final answer
    x = 20,654.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.