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Finding the Fourth Proportional to 6,876.14, 10,312.28 and 2,658.42

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Solution

The fourth proportional to 6,876.14, 10,312.28 and 2,658.42 is: 3,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.14 : 10,312.28 = 2,658.42 : x
  2. Step 2: Convert to fraction form
    6,876.14/10,312.28 = 2,658.42/x
  3. Step 3: Cross multiply
    6,876.14x = 10,312.28 × 2,658.42
  4. Step 4: Simplify right side
    6,876.14x = 27,414,371.40
  5. Step 5: Solve for x
    x = 27,414,371.40/6,876.14
  6. Step 6: Final answer
    x = 3,986.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.