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Finding the Fourth Proportional to 31,649.32, 47,472.90 and 8,275.78

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Solution

The fourth proportional to 31,649.32, 47,472.90 and 8,275.78 is: 12,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,649.32 : 47,472.90 = 8,275.78 : x
  2. Step 2: Convert to fraction form
    31,649.32/47,472.90 = 8,275.78/x
  3. Step 3: Cross multiply
    31,649.32x = 47,472.90 × 8,275.78
  4. Step 4: Simplify right side
    31,649.32x = 392,875,276.36
  5. Step 5: Solve for x
    x = 392,875,276.36/31,649.32
  6. Step 6: Final answer
    x = 12,413.39

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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.