Home / 1,118.20-1,542.38-786.04

Finding the Fourth Proportional to 1,118.20, 1,542.38 and 786.04

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Solution

The fourth proportional to 1,118.20, 1,542.38 and 786.04 is: 1,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.20 : 1,542.38 = 786.04 : x
  2. Step 2: Convert to fraction form
    1,118.20/1,542.38 = 786.04/x
  3. Step 3: Cross multiply
    1,118.20x = 1,542.38 × 786.04
  4. Step 4: Simplify right side
    1,118.20x = 1,212,372.38
  5. Step 5: Solve for x
    x = 1,212,372.38/1,118.20
  6. Step 6: Final answer
    x = 1,084.22

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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.