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Finding the Fourth Proportional to 1,966.22, 2,949.42 and 1,871.65

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Solution

The fourth proportional to 1,966.22, 2,949.42 and 1,871.65 is: 2,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.22 : 2,949.42 = 1,871.65 : x
  2. Step 2: Convert to fraction form
    1,966.22/2,949.42 = 1,871.65/x
  3. Step 3: Cross multiply
    1,966.22x = 2,949.42 × 1,871.65
  4. Step 4: Simplify right side
    1,966.22x = 5,520,281.94
  5. Step 5: Solve for x
    x = 5,520,281.94/1,966.22
  6. Step 6: Final answer
    x = 2,807.56

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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.