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Finding the Fourth Proportional to 31,591.40, 47,324.70 and 16,020.20

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Solution

The fourth proportional to 31,591.40, 47,324.70 and 16,020.20 is: 23,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,591.40 : 47,324.70 = 16,020.20 : x
  2. Step 2: Convert to fraction form
    31,591.40/47,324.70 = 16,020.20/x
  3. Step 3: Cross multiply
    31,591.40x = 47,324.70 × 16,020.20
  4. Step 4: Simplify right side
    31,591.40x = 758,151,158.94
  5. Step 5: Solve for x
    x = 758,151,158.94/31,591.40
  6. Step 6: Final answer
    x = 23,998.66

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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.