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Finding the Fourth Proportional to 25,517.92, 38,276.88 and 7,987.84

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Solution

The fourth proportional to 25,517.92, 38,276.88 and 7,987.84 is: 11,981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,517.92 : 38,276.88 = 7,987.84 : x
  2. Step 2: Convert to fraction form
    25,517.92/38,276.88 = 7,987.84/x
  3. Step 3: Cross multiply
    25,517.92x = 38,276.88 × 7,987.84
  4. Step 4: Simplify right side
    25,517.92x = 305,749,593.14
  5. Step 5: Solve for x
    x = 305,749,593.14/25,517.92
  6. Step 6: Final answer
    x = 11,981.76

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1.5x scale

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.