Home / 1,542.13-2,128.13-843.50

Finding the Fourth Proportional to 1,542.13, 2,128.13 and 843.50

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Solution

The fourth proportional to 1,542.13, 2,128.13 and 843.50 is: 1,164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.13 : 2,128.13 = 843.50 : x
  2. Step 2: Convert to fraction form
    1,542.13/2,128.13 = 843.50/x
  3. Step 3: Cross multiply
    1,542.13x = 2,128.13 × 843.50
  4. Step 4: Simplify right side
    1,542.13x = 1,795,077.66
  5. Step 5: Solve for x
    x = 1,795,077.66/1,542.13
  6. Step 6: Final answer
    x = 1,164.02

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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.