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Finding the Fourth Proportional to 2,669.65, 4,004.54 and 721.84

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Solution

The fourth proportional to 2,669.65, 4,004.54 and 721.84 is: 1,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.65 : 4,004.54 = 721.84 : x
  2. Step 2: Convert to fraction form
    2,669.65/4,004.54 = 721.84/x
  3. Step 3: Cross multiply
    2,669.65x = 4,004.54 × 721.84
  4. Step 4: Simplify right side
    2,669.65x = 2,890,637.15
  5. Step 5: Solve for x
    x = 2,890,637.15/2,669.65
  6. Step 6: Final answer
    x = 1,082.78

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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.