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Finding the Fourth Proportional to 31,891.30, 47,836.94 and 8,517.12

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Solution

The fourth proportional to 31,891.30, 47,836.94 and 8,517.12 is: 12,775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891.30 : 47,836.94 = 8,517.12 : x
  2. Step 2: Convert to fraction form
    31,891.30/47,836.94 = 8,517.12/x
  3. Step 3: Cross multiply
    31,891.30x = 47,836.94 × 8,517.12
  4. Step 4: Simplify right side
    31,891.30x = 407,432,958.41
  5. Step 5: Solve for x
    x = 407,432,958.41/31,891.30
  6. Step 6: Final answer
    x = 12,775.68

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1.5x scale

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.