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Finding the Fourth Proportional to 7,248.88, 10,865.04 and 3,082.78

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Solution

The fourth proportional to 7,248.88, 10,865.04 and 3,082.78 is: 4,620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,248.88 : 10,865.04 = 3,082.78 : x
  2. Step 2: Convert to fraction form
    7,248.88/10,865.04 = 3,082.78/x
  3. Step 3: Cross multiply
    7,248.88x = 10,865.04 × 3,082.78
  4. Step 4: Simplify right side
    7,248.88x = 33,494,528.01
  5. Step 5: Solve for x
    x = 33,494,528.01/7,248.88
  6. Step 6: Final answer
    x = 4,620.65

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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.