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Finding the Fourth Proportional to 25,793.92, 38,639.04 and 13,456

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Solution

The fourth proportional to 25,793.92, 38,639.04 and 13,456 is: 20,156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,793.92 : 38,639.04 = 13,456 : x
  2. Step 2: Convert to fraction form
    25,793.92/38,639.04 = 13,456/x
  3. Step 3: Cross multiply
    25,793.92x = 38,639.04 × 13,456
  4. Step 4: Simplify right side
    25,793.92x = 519,926,922.24
  5. Step 5: Solve for x
    x = 519,926,922.24/25,793.92
  6. Step 6: Final answer
    x = 20,156.96

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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.