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Finding the Fourth Proportional to 6,658.65, 9,189.48 and 3,674.78

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Solution

The fourth proportional to 6,658.65, 9,189.48 and 3,674.78 is: 5,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.65 : 9,189.48 = 3,674.78 : x
  2. Step 2: Convert to fraction form
    6,658.65/9,189.48 = 3,674.78/x
  3. Step 3: Cross multiply
    6,658.65x = 9,189.48 × 3,674.78
  4. Step 4: Simplify right side
    6,658.65x = 33,769,319.61
  5. Step 5: Solve for x
    x = 33,769,319.61/6,658.65
  6. Step 6: Final answer
    x = 5,071.50

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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.