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Finding the Fourth Proportional to 31,649.86, 47,475.24 and 8,276.30

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Solution

The fourth proportional to 31,649.86, 47,475.24 and 8,276.30 is: 12,414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,649.86 : 47,475.24 = 8,276.30 : x
  2. Step 2: Convert to fraction form
    31,649.86/47,475.24 = 8,276.30/x
  3. Step 3: Cross multiply
    31,649.86x = 47,475.24 × 8,276.30
  4. Step 4: Simplify right side
    31,649.86x = 392,919,300.50
  5. Step 5: Solve for x
    x = 392,919,300.50/31,649.86
  6. Step 6: Final answer
    x = 12,414.57

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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.