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Finding the Fourth Proportional to 31,753.60, 47,630.40 and 8,382.40

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Solution

The fourth proportional to 31,753.60, 47,630.40 and 8,382.40 is: 12,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,753.60 : 47,630.40 = 8,382.40 : x
  2. Step 2: Convert to fraction form
    31,753.60/47,630.40 = 8,382.40/x
  3. Step 3: Cross multiply
    31,753.60x = 47,630.40 × 8,382.40
  4. Step 4: Simplify right side
    31,753.60x = 399,257,064.96
  5. Step 5: Solve for x
    x = 399,257,064.96/31,753.60
  6. Step 6: Final answer
    x = 12,573.60

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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.