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Finding the Fourth Proportional to 31,978.10, 47,962.95 and 9,793.70

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Solution

The fourth proportional to 31,978.10, 47,962.95 and 9,793.70 is: 14,689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,978.10 : 47,962.95 = 9,793.70 : x
  2. Step 2: Convert to fraction form
    31,978.10/47,962.95 = 9,793.70/x
  3. Step 3: Cross multiply
    31,978.10x = 47,962.95 × 9,793.70
  4. Step 4: Simplify right side
    31,978.10x = 469,734,743.42
  5. Step 5: Solve for x
    x = 469,734,743.42/31,978.10
  6. Step 6: Final answer
    x = 14,689.26

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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.