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Finding the Fourth Proportional to 5,120.52, 7,681.52 and 2,198.80

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Solution

The fourth proportional to 5,120.52, 7,681.52 and 2,198.80 is: 3,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.52 : 7,681.52 = 2,198.80 : x
  2. Step 2: Convert to fraction form
    5,120.52/7,681.52 = 2,198.80/x
  3. Step 3: Cross multiply
    5,120.52x = 7,681.52 × 2,198.80
  4. Step 4: Simplify right side
    5,120.52x = 16,890,126.18
  5. Step 5: Solve for x
    x = 16,890,126.18/5,120.52
  6. Step 6: Final answer
    x = 3,298.52

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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.