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Finding the Fourth Proportional to 31,471.88, 47,208.02 and 8,098.52

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Solution

The fourth proportional to 31,471.88, 47,208.02 and 8,098.52 is: 12,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.88 : 47,208.02 = 8,098.52 : x
  2. Step 2: Convert to fraction form
    31,471.88/47,208.02 = 8,098.52/x
  3. Step 3: Cross multiply
    31,471.88x = 47,208.02 × 8,098.52
  4. Step 4: Simplify right side
    31,471.88x = 382,314,817.60
  5. Step 5: Solve for x
    x = 382,314,817.60/31,471.88
  6. Step 6: Final answer
    x = 12,147.82

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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.