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Finding the Fourth Proportional to 2,760.78, 4,137.48 and 2,301.48

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Solution

The fourth proportional to 2,760.78, 4,137.48 and 2,301.48 is: 3,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.78 : 4,137.48 = 2,301.48 : x
  2. Step 2: Convert to fraction form
    2,760.78/4,137.48 = 2,301.48/x
  3. Step 3: Cross multiply
    2,760.78x = 4,137.48 × 2,301.48
  4. Step 4: Simplify right side
    2,760.78x = 9,522,327.47
  5. Step 5: Solve for x
    x = 9,522,327.47/2,760.78
  6. Step 6: Final answer
    x = 3,449.14

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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.