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Finding the Fourth Proportional to 25,038, 34,553.52 and 13,860

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Solution

The fourth proportional to 25,038, 34,553.52 and 13,860 is: 19,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,038 : 34,553.52 = 13,860 : x
  2. Step 2: Convert to fraction form
    25,038/34,553.52 = 13,860/x
  3. Step 3: Cross multiply
    25,038x = 34,553.52 × 13,860
  4. Step 4: Simplify right side
    25,038x = 478,911,787.20
  5. Step 5: Solve for x
    x = 478,911,787.20/25,038
  6. Step 6: Final answer
    x = 19,127.40

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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.