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Finding the Fourth Proportional to 31,680.95, 47,521.42 and 9,493.83

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Solution

The fourth proportional to 31,680.95, 47,521.42 and 9,493.83 is: 14,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,680.95 : 47,521.42 = 9,493.83 : x
  2. Step 2: Convert to fraction form
    31,680.95/47,521.42 = 9,493.83/x
  3. Step 3: Cross multiply
    31,680.95x = 47,521.42 × 9,493.83
  4. Step 4: Simplify right side
    31,680.95x = 451,160,259.10
  5. Step 5: Solve for x
    x = 451,160,259.10/31,680.95
  6. Step 6: Final answer
    x = 14,240.75

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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.