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Finding the Fourth Proportional to 6,142.97, 8,476.67 and 3,489.86

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Solution

The fourth proportional to 6,142.97, 8,476.67 and 3,489.86 is: 4,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.97 : 8,476.67 = 3,489.86 : x
  2. Step 2: Convert to fraction form
    6,142.97/8,476.67 = 3,489.86/x
  3. Step 3: Cross multiply
    6,142.97x = 8,476.67 × 3,489.86
  4. Step 4: Simplify right side
    6,142.97x = 29,582,357.91
  5. Step 5: Solve for x
    x = 29,582,357.91/6,142.97
  6. Step 6: Final answer
    x = 4,815.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.