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Finding the Fourth Proportional to 25,849.68, 38,774.52 and 7,129.80

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Solution

The fourth proportional to 25,849.68, 38,774.52 and 7,129.80 is: 10,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,849.68 : 38,774.52 = 7,129.80 : x
  2. Step 2: Convert to fraction form
    25,849.68/38,774.52 = 7,129.80/x
  3. Step 3: Cross multiply
    25,849.68x = 38,774.52 × 7,129.80
  4. Step 4: Simplify right side
    25,849.68x = 276,454,572.70
  5. Step 5: Solve for x
    x = 276,454,572.70/25,849.68
  6. Step 6: Final answer
    x = 10,694.70

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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.