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Finding the Fourth Proportional to 1,843.01, 2,543.15 and 1,057.31

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Solution

The fourth proportional to 1,843.01, 2,543.15 and 1,057.31 is: 1,458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.01 : 2,543.15 = 1,057.31 : x
  2. Step 2: Convert to fraction form
    1,843.01/2,543.15 = 1,057.31/x
  3. Step 3: Cross multiply
    1,843.01x = 2,543.15 × 1,057.31
  4. Step 4: Simplify right side
    1,843.01x = 2,688,892.64
  5. Step 5: Solve for x
    x = 2,688,892.64/1,843.01
  6. Step 6: Final answer
    x = 1,458.97

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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.