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Finding the Fourth Proportional to 31,830.60, 47,742.12 and 8,458.80

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Solution

The fourth proportional to 31,830.60, 47,742.12 and 8,458.80 is: 12,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,830.60 : 47,742.12 = 8,458.80 : x
  2. Step 2: Convert to fraction form
    31,830.60/47,742.12 = 8,458.80/x
  3. Step 3: Cross multiply
    31,830.60x = 47,742.12 × 8,458.80
  4. Step 4: Simplify right side
    31,830.60x = 403,841,044.66
  5. Step 5: Solve for x
    x = 403,841,044.66/31,830.60
  6. Step 6: Final answer
    x = 12,687.20

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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.