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Finding the Fourth Proportional to 2,746.69, 4,115.22 and 2,287.42

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Solution

The fourth proportional to 2,746.69, 4,115.22 and 2,287.42 is: 3,427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.69 : 4,115.22 = 2,287.42 : x
  2. Step 2: Convert to fraction form
    2,746.69/4,115.22 = 2,287.42/x
  3. Step 3: Cross multiply
    2,746.69x = 4,115.22 × 2,287.42
  4. Step 4: Simplify right side
    2,746.69x = 9,413,236.53
  5. Step 5: Solve for x
    x = 9,413,236.53/2,746.69
  6. Step 6: Final answer
    x = 3,427.12

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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.