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Finding the Fourth Proportional to 3,988.26, 5,983.02 and 1,066.80

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Solution

The fourth proportional to 3,988.26, 5,983.02 and 1,066.80 is: 1,600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.26 : 5,983.02 = 1,066.80 : x
  2. Step 2: Convert to fraction form
    3,988.26/5,983.02 = 1,066.80/x
  3. Step 3: Cross multiply
    3,988.26x = 5,983.02 × 1,066.80
  4. Step 4: Simplify right side
    3,988.26x = 6,382,685.74
  5. Step 5: Solve for x
    x = 6,382,685.74/3,988.26
  6. Step 6: Final answer
    x = 1,600.37

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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.