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Finding the Fourth Proportional to 2,742.66, 4,115.81 and 2,560.41

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Solution

The fourth proportional to 2,742.66, 4,115.81 and 2,560.41 is: 3,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.66 : 4,115.81 = 2,560.41 : x
  2. Step 2: Convert to fraction form
    2,742.66/4,115.81 = 2,560.41/x
  3. Step 3: Cross multiply
    2,742.66x = 4,115.81 × 2,560.41
  4. Step 4: Simplify right side
    2,742.66x = 10,538,161.08
  5. Step 5: Solve for x
    x = 10,538,161.08/2,742.66
  6. Step 6: Final answer
    x = 3,842.31

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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.