Home / 1,126.12-1,687.74-972.04

Finding the Fourth Proportional to 1,126.12, 1,687.74 and 972.04

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Solution

The fourth proportional to 1,126.12, 1,687.74 and 972.04 is: 1,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.12 : 1,687.74 = 972.04 : x
  2. Step 2: Convert to fraction form
    1,126.12/1,687.74 = 972.04/x
  3. Step 3: Cross multiply
    1,126.12x = 1,687.74 × 972.04
  4. Step 4: Simplify right side
    1,126.12x = 1,640,550.79
  5. Step 5: Solve for x
    x = 1,640,550.79/1,126.12
  6. Step 6: Final answer
    x = 1,456.82

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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.