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Finding the Fourth Proportional to 6,679.74, 10,019.88 and 2,981.28

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Solution

The fourth proportional to 6,679.74, 10,019.88 and 2,981.28 is: 4,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.74 : 10,019.88 = 2,981.28 : x
  2. Step 2: Convert to fraction form
    6,679.74/10,019.88 = 2,981.28/x
  3. Step 3: Cross multiply
    6,679.74x = 10,019.88 × 2,981.28
  4. Step 4: Simplify right side
    6,679.74x = 29,872,067.85
  5. Step 5: Solve for x
    x = 29,872,067.85/6,679.74
  6. Step 6: Final answer
    x = 4,472.04

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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.