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Finding the Fourth Proportional to 25,612.72, 38,414.76 and 8,080

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Solution

The fourth proportional to 25,612.72, 38,414.76 and 8,080 is: 12,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,612.72 : 38,414.76 = 8,080 : x
  2. Step 2: Convert to fraction form
    25,612.72/38,414.76 = 8,080/x
  3. Step 3: Cross multiply
    25,612.72x = 38,414.76 × 8,080
  4. Step 4: Simplify right side
    25,612.72x = 310,391,260.80
  5. Step 5: Solve for x
    x = 310,391,260.80/25,612.72
  6. Step 6: Final answer
    x = 12,118.64

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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.