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Finding the Fourth Proportional to 8,472.99, 12,709.56 and 3,478.11

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Solution

The fourth proportional to 8,472.99, 12,709.56 and 3,478.11 is: 5,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.99 : 12,709.56 = 3,478.11 : x
  2. Step 2: Convert to fraction form
    8,472.99/12,709.56 = 3,478.11/x
  3. Step 3: Cross multiply
    8,472.99x = 12,709.56 × 3,478.11
  4. Step 4: Simplify right side
    8,472.99x = 44,205,247.73
  5. Step 5: Solve for x
    x = 44,205,247.73/8,472.99
  6. Step 6: Final answer
    x = 5,217.20

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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.