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Finding the Fourth Proportional to 2,679.76, 4,010.64 and 2,577.52

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Solution

The fourth proportional to 2,679.76, 4,010.64 and 2,577.52 is: 3,857.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.76 : 4,010.64 = 2,577.52 : x
  2. Step 2: Convert to fraction form
    2,679.76/4,010.64 = 2,577.52/x
  3. Step 3: Cross multiply
    2,679.76x = 4,010.64 × 2,577.52
  4. Step 4: Simplify right side
    2,679.76x = 10,337,504.81
  5. Step 5: Solve for x
    x = 10,337,504.81/2,679.76
  6. Step 6: Final answer
    x = 3,857.62

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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.