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Finding the Fourth Proportional to 3,443.80, 4,752.42 and 1,871.92

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Solution

The fourth proportional to 3,443.80, 4,752.42 and 1,871.92 is: 2,583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.80 : 4,752.42 = 1,871.92 : x
  2. Step 2: Convert to fraction form
    3,443.80/4,752.42 = 1,871.92/x
  3. Step 3: Cross multiply
    3,443.80x = 4,752.42 × 1,871.92
  4. Step 4: Simplify right side
    3,443.80x = 8,896,150.05
  5. Step 5: Solve for x
    x = 8,896,150.05/3,443.80
  6. Step 6: Final answer
    x = 2,583.24

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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.