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Finding the Fourth Proportional to 8,478.38, 12,723.52 and 3,484.74

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Solution

The fourth proportional to 8,478.38, 12,723.52 and 3,484.74 is: 5,229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.38 : 12,723.52 = 3,484.74 : x
  2. Step 2: Convert to fraction form
    8,478.38/12,723.52 = 3,484.74/x
  3. Step 3: Cross multiply
    8,478.38x = 12,723.52 × 3,484.74
  4. Step 4: Simplify right side
    8,478.38x = 44,338,159.08
  5. Step 5: Solve for x
    x = 44,338,159.08/8,478.38
  6. Step 6: Final answer
    x = 5,229.56

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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.