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Finding the Fourth Proportional to 6,658.12, 9,185.16 and 3,862

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Solution

The fourth proportional to 6,658.12, 9,185.16 and 3,862 is: 5,327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.12 : 9,185.16 = 3,862 : x
  2. Step 2: Convert to fraction form
    6,658.12/9,185.16 = 3,862/x
  3. Step 3: Cross multiply
    6,658.12x = 9,185.16 × 3,862
  4. Step 4: Simplify right side
    6,658.12x = 35,473,087.92
  5. Step 5: Solve for x
    x = 35,473,087.92/6,658.12
  6. Step 6: Final answer
    x = 5,327.79

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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.