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Finding the Fourth Proportional to 31,867.78, 47,801.59 and 8,494.22

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Solution

The fourth proportional to 31,867.78, 47,801.59 and 8,494.22 is: 12,741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,867.78 : 47,801.59 = 8,494.22 : x
  2. Step 2: Convert to fraction form
    31,867.78/47,801.59 = 8,494.22/x
  3. Step 3: Cross multiply
    31,867.78x = 47,801.59 × 8,494.22
  4. Step 4: Simplify right side
    31,867.78x = 406,037,098.97
  5. Step 5: Solve for x
    x = 406,037,098.97/31,867.78
  6. Step 6: Final answer
    x = 12,741.31

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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.