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Finding the Fourth Proportional to 25,531, 38,296.26 and 13,918

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Solution

The fourth proportional to 25,531, 38,296.26 and 13,918 is: 20,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,531 : 38,296.26 = 13,918 : x
  2. Step 2: Convert to fraction form
    25,531/38,296.26 = 13,918/x
  3. Step 3: Cross multiply
    25,531x = 38,296.26 × 13,918
  4. Step 4: Simplify right side
    25,531x = 533,007,346.68
  5. Step 5: Solve for x
    x = 533,007,346.68/25,531
  6. Step 6: Final answer
    x = 20,876.87

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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.