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Finding the Fourth Proportional to 1,542.06, 2,128.02 and 843.42

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Solution

The fourth proportional to 1,542.06, 2,128.02 and 843.42 is: 1,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.06 : 2,128.02 = 843.42 : x
  2. Step 2: Convert to fraction form
    1,542.06/2,128.02 = 843.42/x
  3. Step 3: Cross multiply
    1,542.06x = 2,128.02 × 843.42
  4. Step 4: Simplify right side
    1,542.06x = 1,794,814.63
  5. Step 5: Solve for x
    x = 1,794,814.63/1,542.06
  6. Step 6: Final answer
    x = 1,163.91

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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.