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Finding the Fourth Proportional to 5,679.28, 8,519.16 and 1,981.88

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Solution

The fourth proportional to 5,679.28, 8,519.16 and 1,981.88 is: 2,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.28 : 8,519.16 = 1,981.88 : x
  2. Step 2: Convert to fraction form
    5,679.28/8,519.16 = 1,981.88/x
  3. Step 3: Cross multiply
    5,679.28x = 8,519.16 × 1,981.88
  4. Step 4: Simplify right side
    5,679.28x = 16,883,952.82
  5. Step 5: Solve for x
    x = 16,883,952.82/5,679.28
  6. Step 6: Final answer
    x = 2,972.90

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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.