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Finding the Fourth Proportional to 31,770.90, 47,658.78 and 8,397

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Solution

The fourth proportional to 31,770.90, 47,658.78 and 8,397 is: 12,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,770.90 : 47,658.78 = 8,397 : x
  2. Step 2: Convert to fraction form
    31,770.90/47,658.78 = 8,397/x
  3. Step 3: Cross multiply
    31,770.90x = 47,658.78 × 8,397
  4. Step 4: Simplify right side
    31,770.90x = 400,190,775.66
  5. Step 5: Solve for x
    x = 400,190,775.66/31,770.90
  6. Step 6: Final answer
    x = 12,596.14

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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.