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Finding the Fourth Proportional to 6,658.44, 9,986.28 and 3,146.96

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Solution

The fourth proportional to 6,658.44, 9,986.28 and 3,146.96 is: 4,719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.44 : 9,986.28 = 3,146.96 : x
  2. Step 2: Convert to fraction form
    6,658.44/9,986.28 = 3,146.96/x
  3. Step 3: Cross multiply
    6,658.44x = 9,986.28 × 3,146.96
  4. Step 4: Simplify right side
    6,658.44x = 31,426,373.78
  5. Step 5: Solve for x
    x = 31,426,373.78/6,658.44
  6. Step 6: Final answer
    x = 4,719.78

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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.