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Finding the Fourth Proportional to 25,675.28, 38,511 and 15,278

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Solution

The fourth proportional to 25,675.28, 38,511 and 15,278 is: 22,915.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,675.28 : 38,511 = 15,278 : x
  2. Step 2: Convert to fraction form
    25,675.28/38,511 = 15,278/x
  3. Step 3: Cross multiply
    25,675.28x = 38,511 × 15,278
  4. Step 4: Simplify right side
    25,675.28x = 588,371,058
  5. Step 5: Solve for x
    x = 588,371,058/25,675.28
  6. Step 6: Final answer
    x = 22,915.86

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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.