Home / 1,987.49-2,982.19-818.35

Finding the Fourth Proportional to 1,987.49, 2,982.19 and 818.35

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Solution

The fourth proportional to 1,987.49, 2,982.19 and 818.35 is: 1,227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.49 : 2,982.19 = 818.35 : x
  2. Step 2: Convert to fraction form
    1,987.49/2,982.19 = 818.35/x
  3. Step 3: Cross multiply
    1,987.49x = 2,982.19 × 818.35
  4. Step 4: Simplify right side
    1,987.49x = 2,440,475.19
  5. Step 5: Solve for x
    x = 2,440,475.19/1,987.49
  6. Step 6: Final answer
    x = 1,227.92

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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.