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Finding the Fourth Proportional to 2,543.17, 3,815.16 and 1,062.22

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Solution

The fourth proportional to 2,543.17, 3,815.16 and 1,062.22 is: 1,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.17 : 3,815.16 = 1,062.22 : x
  2. Step 2: Convert to fraction form
    2,543.17/3,815.16 = 1,062.22/x
  3. Step 3: Cross multiply
    2,543.17x = 3,815.16 × 1,062.22
  4. Step 4: Simplify right side
    2,543.17x = 4,052,539.26
  5. Step 5: Solve for x
    x = 4,052,539.26/2,543.17
  6. Step 6: Final answer
    x = 1,593.50

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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.