Home / 1,542.20-2,128.26-843.57

Finding the Fourth Proportional to 1,542.20, 2,128.26 and 843.57

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Solution

The fourth proportional to 1,542.20, 2,128.26 and 843.57 is: 1,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.20 : 2,128.26 = 843.57 : x
  2. Step 2: Convert to fraction form
    1,542.20/2,128.26 = 843.57/x
  3. Step 3: Cross multiply
    1,542.20x = 2,128.26 × 843.57
  4. Step 4: Simplify right side
    1,542.20x = 1,795,336.29
  5. Step 5: Solve for x
    x = 1,795,336.29/1,542.20
  6. Step 6: Final answer
    x = 1,164.14

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1.5x scale

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.