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Finding the Fourth Proportional to 31,874.58, 47,815.65 and 8,501.22

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Solution

The fourth proportional to 31,874.58, 47,815.65 and 8,501.22 is: 12,752.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.58 : 47,815.65 = 8,501.22 : x
  2. Step 2: Convert to fraction form
    31,874.58/47,815.65 = 8,501.22/x
  3. Step 3: Cross multiply
    31,874.58x = 47,815.65 × 8,501.22
  4. Step 4: Simplify right side
    31,874.58x = 406,491,360.09
  5. Step 5: Solve for x
    x = 406,491,360.09/31,874.58
  6. Step 6: Final answer
    x = 12,752.84

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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.