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Finding the Fourth Proportional to 31,990.80, 47,947.80 and 16,400.40

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Solution

The fourth proportional to 31,990.80, 47,947.80 and 16,400.40 is: 24,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,990.80 : 47,947.80 = 16,400.40 : x
  2. Step 2: Convert to fraction form
    31,990.80/47,947.80 = 16,400.40/x
  3. Step 3: Cross multiply
    31,990.80x = 47,947.80 × 16,400.40
  4. Step 4: Simplify right side
    31,990.80x = 786,363,099.12
  5. Step 5: Solve for x
    x = 786,363,099.12/31,990.80
  6. Step 6: Final answer
    x = 24,580.91

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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.