Home / 1,587.97-2,191.14-998.09

Finding the Fourth Proportional to 1,587.97, 2,191.14 and 998.09

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Solution

The fourth proportional to 1,587.97, 2,191.14 and 998.09 is: 1,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.97 : 2,191.14 = 998.09 : x
  2. Step 2: Convert to fraction form
    1,587.97/2,191.14 = 998.09/x
  3. Step 3: Cross multiply
    1,587.97x = 2,191.14 × 998.09
  4. Step 4: Simplify right side
    1,587.97x = 2,186,954.92
  5. Step 5: Solve for x
    x = 2,186,954.92/1,587.97
  6. Step 6: Final answer
    x = 1,377.20

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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.