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Finding the Fourth Proportional to 25,872.76, 38,805.18 and 8,340.76

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Solution

The fourth proportional to 25,872.76, 38,805.18 and 8,340.76 is: 12,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,872.76 : 38,805.18 = 8,340.76 : x
  2. Step 2: Convert to fraction form
    25,872.76/38,805.18 = 8,340.76/x
  3. Step 3: Cross multiply
    25,872.76x = 38,805.18 × 8,340.76
  4. Step 4: Simplify right side
    25,872.76x = 323,664,693.14
  5. Step 5: Solve for x
    x = 323,664,693.14/25,872.76
  6. Step 6: Final answer
    x = 12,509.86

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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.