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Finding the Fourth Proportional to 6,647.80, 9,971.24 and 3,687.64

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Solution

The fourth proportional to 6,647.80, 9,971.24 and 3,687.64 is: 5,531.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.80 : 9,971.24 = 3,687.64 : x
  2. Step 2: Convert to fraction form
    6,647.80/9,971.24 = 3,687.64/x
  3. Step 3: Cross multiply
    6,647.80x = 9,971.24 × 3,687.64
  4. Step 4: Simplify right side
    6,647.80x = 36,770,343.47
  5. Step 5: Solve for x
    x = 36,770,343.47/6,647.80
  6. Step 6: Final answer
    x = 5,531.20

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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.