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Finding the Fourth Proportional to 8,419.52, 12,630 and 3,222.56

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Solution

The fourth proportional to 8,419.52, 12,630 and 3,222.56 is: 4,834.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.52 : 12,630 = 3,222.56 : x
  2. Step 2: Convert to fraction form
    8,419.52/12,630 = 3,222.56/x
  3. Step 3: Cross multiply
    8,419.52x = 12,630 × 3,222.56
  4. Step 4: Simplify right side
    8,419.52x = 40,700,932.80
  5. Step 5: Solve for x
    x = 40,700,932.80/8,419.52
  6. Step 6: Final answer
    x = 4,834.12

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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.