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Finding the Fourth Proportional to 25,829.76, 38,736.72 and 8,294.88

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Solution

The fourth proportional to 25,829.76, 38,736.72 and 8,294.88 is: 12,439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,829.76 : 38,736.72 = 8,294.88 : x
  2. Step 2: Convert to fraction form
    25,829.76/38,736.72 = 8,294.88/x
  3. Step 3: Cross multiply
    25,829.76x = 38,736.72 × 8,294.88
  4. Step 4: Simplify right side
    25,829.76x = 321,316,443.99
  5. Step 5: Solve for x
    x = 321,316,443.99/25,829.76
  6. Step 6: Final answer
    x = 12,439.78

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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.