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Finding the Fourth Proportional to 2,871.97, 4,309.27 and 1,704.29

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Solution

The fourth proportional to 2,871.97, 4,309.27 and 1,704.29 is: 2,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.97 : 4,309.27 = 1,704.29 : x
  2. Step 2: Convert to fraction form
    2,871.97/4,309.27 = 1,704.29/x
  3. Step 3: Cross multiply
    2,871.97x = 4,309.27 × 1,704.29
  4. Step 4: Simplify right side
    2,871.97x = 7,344,219.96
  5. Step 5: Solve for x
    x = 7,344,219.96/2,871.97
  6. Step 6: Final answer
    x = 2,557.21

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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.