Home / 1,542.18-2,128.20-843.55

Finding the Fourth Proportional to 1,542.18, 2,128.20 and 843.55

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Solution

The fourth proportional to 1,542.18, 2,128.20 and 843.55 is: 1,164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.18 : 2,128.20 = 843.55 : x
  2. Step 2: Convert to fraction form
    1,542.18/2,128.20 = 843.55/x
  3. Step 3: Cross multiply
    1,542.18x = 2,128.20 × 843.55
  4. Step 4: Simplify right side
    1,542.18x = 1,795,243.11
  5. Step 5: Solve for x
    x = 1,795,243.11/1,542.18
  6. Step 6: Final answer
    x = 1,164.09

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Half scale
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Double scale
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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.