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Finding the Fourth Proportional to 5,651.64, 8,472.45 and 2,139.20

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Solution

The fourth proportional to 5,651.64, 8,472.45 and 2,139.20 is: 3,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.64 : 8,472.45 = 2,139.20 : x
  2. Step 2: Convert to fraction form
    5,651.64/8,472.45 = 2,139.20/x
  3. Step 3: Cross multiply
    5,651.64x = 8,472.45 × 2,139.20
  4. Step 4: Simplify right side
    5,651.64x = 18,124,262.47
  5. Step 5: Solve for x
    x = 18,124,262.47/5,651.64
  6. Step 6: Final answer
    x = 3,206.90

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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.