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Finding the Fourth Proportional to 3,991.14, 5,982.61 and 1,525.30

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Solution

The fourth proportional to 3,991.14, 5,982.61 and 1,525.30 is: 2,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.14 : 5,982.61 = 1,525.30 : x
  2. Step 2: Convert to fraction form
    3,991.14/5,982.61 = 1,525.30/x
  3. Step 3: Cross multiply
    3,991.14x = 5,982.61 × 1,525.30
  4. Step 4: Simplify right side
    3,991.14x = 9,125,259.12
  5. Step 5: Solve for x
    x = 9,125,259.12/3,991.14
  6. Step 6: Final answer
    x = 2,286.38

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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.