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Finding the Fourth Proportional to 3,988.42, 5,982.17 and 1,066.96

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Solution

The fourth proportional to 3,988.42, 5,982.17 and 1,066.96 is: 1,600.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.42 : 5,982.17 = 1,066.96 : x
  2. Step 2: Convert to fraction form
    3,988.42/5,982.17 = 1,066.96/x
  3. Step 3: Cross multiply
    3,988.42x = 5,982.17 × 1,066.96
  4. Step 4: Simplify right side
    3,988.42x = 6,382,710.60
  5. Step 5: Solve for x
    x = 6,382,710.60/3,988.42
  6. Step 6: Final answer
    x = 1,600.31

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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.