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Finding the Fourth Proportional to 2,229.64, 3,340.50 and 1,901.68

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Solution

The fourth proportional to 2,229.64, 3,340.50 and 1,901.68 is: 2,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.64 : 3,340.50 = 1,901.68 : x
  2. Step 2: Convert to fraction form
    2,229.64/3,340.50 = 1,901.68/x
  3. Step 3: Cross multiply
    2,229.64x = 3,340.50 × 1,901.68
  4. Step 4: Simplify right side
    2,229.64x = 6,352,562.04
  5. Step 5: Solve for x
    x = 6,352,562.04/2,229.64
  6. Step 6: Final answer
    x = 2,849.14

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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.