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Finding the Fourth Proportional to 6,642.81, 9,167.07 and 3,658.61

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Solution

The fourth proportional to 6,642.81, 9,167.07 and 3,658.61 is: 5,048.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.81 : 9,167.07 = 3,658.61 : x
  2. Step 2: Convert to fraction form
    6,642.81/9,167.07 = 3,658.61/x
  3. Step 3: Cross multiply
    6,642.81x = 9,167.07 × 3,658.61
  4. Step 4: Simplify right side
    6,642.81x = 33,538,683.00
  5. Step 5: Solve for x
    x = 33,538,683.00/6,642.81
  6. Step 6: Final answer
    x = 5,048.87

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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.