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Finding the Fourth Proportional to 31,876.68, 47,815.04 and 8,503.10

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Solution

The fourth proportional to 31,876.68, 47,815.04 and 8,503.10 is: 12,754.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,876.68 : 47,815.04 = 8,503.10 : x
  2. Step 2: Convert to fraction form
    31,876.68/47,815.04 = 8,503.10/x
  3. Step 3: Cross multiply
    31,876.68x = 47,815.04 × 8,503.10
  4. Step 4: Simplify right side
    31,876.68x = 406,576,066.62
  5. Step 5: Solve for x
    x = 406,576,066.62/31,876.68
  6. Step 6: Final answer
    x = 12,754.66

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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.