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Finding the Fourth Proportional to 2,087.80, 3,132.60 and 991.60

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Solution

The fourth proportional to 2,087.80, 3,132.60 and 991.60 is: 1,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.80 : 3,132.60 = 991.60 : x
  2. Step 2: Convert to fraction form
    2,087.80/3,132.60 = 991.60/x
  3. Step 3: Cross multiply
    2,087.80x = 3,132.60 × 991.60
  4. Step 4: Simplify right side
    2,087.80x = 3,106,286.16
  5. Step 5: Solve for x
    x = 3,106,286.16/2,087.80
  6. Step 6: Final answer
    x = 1,487.83

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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.