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Finding the Fourth Proportional to 7,144.74, 10,719.84 and 2,765.28

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Solution

The fourth proportional to 7,144.74, 10,719.84 and 2,765.28 is: 4,148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.74 : 10,719.84 = 2,765.28 : x
  2. Step 2: Convert to fraction form
    7,144.74/10,719.84 = 2,765.28/x
  3. Step 3: Cross multiply
    7,144.74x = 10,719.84 × 2,765.28
  4. Step 4: Simplify right side
    7,144.74x = 29,643,359.16
  5. Step 5: Solve for x
    x = 29,643,359.16/7,144.74
  6. Step 6: Final answer
    x = 4,148.98

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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.