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Finding the Fourth Proportional to 31,993.80, 47,990.70 and 11,217.30

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Solution

The fourth proportional to 31,993.80, 47,990.70 and 11,217.30 is: 16,825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,993.80 : 47,990.70 = 11,217.30 : x
  2. Step 2: Convert to fraction form
    31,993.80/47,990.70 = 11,217.30/x
  3. Step 3: Cross multiply
    31,993.80x = 47,990.70 × 11,217.30
  4. Step 4: Simplify right side
    31,993.80x = 538,326,079.11
  5. Step 5: Solve for x
    x = 538,326,079.11/31,993.80
  6. Step 6: Final answer
    x = 16,825.95

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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.