Home / 1,987.32-2,741.90-1,147.92

Finding the Fourth Proportional to 1,987.32, 2,741.90 and 1,147.92

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Solution

The fourth proportional to 1,987.32, 2,741.90 and 1,147.92 is: 1,583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.32 : 2,741.90 = 1,147.92 : x
  2. Step 2: Convert to fraction form
    1,987.32/2,741.90 = 1,147.92/x
  3. Step 3: Cross multiply
    1,987.32x = 2,741.90 × 1,147.92
  4. Step 4: Simplify right side
    1,987.32x = 3,147,481.85
  5. Step 5: Solve for x
    x = 3,147,481.85/1,987.32
  6. Step 6: Final answer
    x = 1,583.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.