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Finding the Fourth Proportional to 31,636.80, 47,455.20 and 8,263.02

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Solution

The fourth proportional to 31,636.80, 47,455.20 and 8,263.02 is: 12,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,636.80 : 47,455.20 = 8,263.02 : x
  2. Step 2: Convert to fraction form
    31,636.80/47,455.20 = 8,263.02/x
  3. Step 3: Cross multiply
    31,636.80x = 47,455.20 × 8,263.02
  4. Step 4: Simplify right side
    31,636.80x = 392,123,266.70
  5. Step 5: Solve for x
    x = 392,123,266.70/31,636.80
  6. Step 6: Final answer
    x = 12,394.53

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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.