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Finding the Fourth Proportional to 2,092.47, 3,138.72 and 843.08

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Solution

The fourth proportional to 2,092.47, 3,138.72 and 843.08 is: 1,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.47 : 3,138.72 = 843.08 : x
  2. Step 2: Convert to fraction form
    2,092.47/3,138.72 = 843.08/x
  3. Step 3: Cross multiply
    2,092.47x = 3,138.72 × 843.08
  4. Step 4: Simplify right side
    2,092.47x = 2,646,173.20
  5. Step 5: Solve for x
    x = 2,646,173.20/2,092.47
  6. Step 6: Final answer
    x = 1,264.62

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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.