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Finding the Fourth Proportional to 2,773.50, 4,160.28 and 721.50

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Solution

The fourth proportional to 2,773.50, 4,160.28 and 721.50 is: 1,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.50 : 4,160.28 = 721.50 : x
  2. Step 2: Convert to fraction form
    2,773.50/4,160.28 = 721.50/x
  3. Step 3: Cross multiply
    2,773.50x = 4,160.28 × 721.50
  4. Step 4: Simplify right side
    2,773.50x = 3,001,642.02
  5. Step 5: Solve for x
    x = 3,001,642.02/2,773.50
  6. Step 6: Final answer
    x = 1,082.26

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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.