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Finding the Fourth Proportional to 25,657.80, 38,481.30 and 10,867.20

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Solution

The fourth proportional to 25,657.80, 38,481.30 and 10,867.20 is: 16,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,657.80 : 38,481.30 = 10,867.20 : x
  2. Step 2: Convert to fraction form
    25,657.80/38,481.30 = 10,867.20/x
  3. Step 3: Cross multiply
    25,657.80x = 38,481.30 × 10,867.20
  4. Step 4: Simplify right side
    25,657.80x = 418,183,983.36
  5. Step 5: Solve for x
    x = 418,183,983.36/25,657.80
  6. Step 6: Final answer
    x = 16,298.51

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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.