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Finding the Fourth Proportional to 31,390.80, 47,086.20 and 8,016.90

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Solution

The fourth proportional to 31,390.80, 47,086.20 and 8,016.90 is: 12,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,390.80 : 47,086.20 = 8,016.90 : x
  2. Step 2: Convert to fraction form
    31,390.80/47,086.20 = 8,016.90/x
  3. Step 3: Cross multiply
    31,390.80x = 47,086.20 × 8,016.90
  4. Step 4: Simplify right side
    31,390.80x = 377,485,356.78
  5. Step 5: Solve for x
    x = 377,485,356.78/31,390.80
  6. Step 6: Final answer
    x = 12,025.35

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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.