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Finding the Fourth Proportional to 31,649.60, 47,477.11 and 8,276

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Solution

The fourth proportional to 31,649.60, 47,477.11 and 8,276 is: 12,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,649.60 : 47,477.11 = 8,276 : x
  2. Step 2: Convert to fraction form
    31,649.60/47,477.11 = 8,276/x
  3. Step 3: Cross multiply
    31,649.60x = 47,477.11 × 8,276
  4. Step 4: Simplify right side
    31,649.60x = 392,920,562.36
  5. Step 5: Solve for x
    x = 392,920,562.36/31,649.60
  6. Step 6: Final answer
    x = 12,414.71

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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.