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Finding the Fourth Proportional to 2,765.68, 4,144.48 and 1,304.48

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Solution

The fourth proportional to 2,765.68, 4,144.48 and 1,304.48 is: 1,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.68 : 4,144.48 = 1,304.48 : x
  2. Step 2: Convert to fraction form
    2,765.68/4,144.48 = 1,304.48/x
  3. Step 3: Cross multiply
    2,765.68x = 4,144.48 × 1,304.48
  4. Step 4: Simplify right side
    2,765.68x = 5,406,391.27
  5. Step 5: Solve for x
    x = 5,406,391.27/2,765.68
  6. Step 6: Final answer
    x = 1,954.81

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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.