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Finding the Fourth Proportional to 25,856.88, 38,796.84 and 13,542

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Solution

The fourth proportional to 25,856.88, 38,796.84 and 13,542 is: 20,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,856.88 : 38,796.84 = 13,542 : x
  2. Step 2: Convert to fraction form
    25,856.88/38,796.84 = 13,542/x
  3. Step 3: Cross multiply
    25,856.88x = 38,796.84 × 13,542
  4. Step 4: Simplify right side
    25,856.88x = 525,386,807.28
  5. Step 5: Solve for x
    x = 525,386,807.28/25,856.88
  6. Step 6: Final answer
    x = 20,319.03

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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.