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Finding the Fourth Proportional to 25,865.92, 38,805.36 and 8,335.36

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Solution

The fourth proportional to 25,865.92, 38,805.36 and 8,335.36 is: 12,505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,865.92 : 38,805.36 = 8,335.36 : x
  2. Step 2: Convert to fraction form
    25,865.92/38,805.36 = 8,335.36/x
  3. Step 3: Cross multiply
    25,865.92x = 38,805.36 × 8,335.36
  4. Step 4: Simplify right side
    25,865.92x = 323,456,645.53
  5. Step 5: Solve for x
    x = 323,456,645.53/25,865.92
  6. Step 6: Final answer
    x = 12,505.13

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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.