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Finding the Fourth Proportional to 31,652.12, 47,480.88 and 8,278.52

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Solution

The fourth proportional to 31,652.12, 47,480.88 and 8,278.52 is: 12,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,652.12 : 47,480.88 = 8,278.52 : x
  2. Step 2: Convert to fraction form
    31,652.12/47,480.88 = 8,278.52/x
  3. Step 3: Cross multiply
    31,652.12x = 47,480.88 × 8,278.52
  4. Step 4: Simplify right side
    31,652.12x = 393,071,414.70
  5. Step 5: Solve for x
    x = 393,071,414.70/31,652.12
  6. Step 6: Final answer
    x = 12,418.49

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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.