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Finding the Fourth Proportional to 2,427.38, 3,349.78 and 1,323.38

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Solution

The fourth proportional to 2,427.38, 3,349.78 and 1,323.38 is: 1,826.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.38 : 3,349.78 = 1,323.38 : x
  2. Step 2: Convert to fraction form
    2,427.38/3,349.78 = 1,323.38/x
  3. Step 3: Cross multiply
    2,427.38x = 3,349.78 × 1,323.38
  4. Step 4: Simplify right side
    2,427.38x = 4,433,011.80
  5. Step 5: Solve for x
    x = 4,433,011.80/2,427.38
  6. Step 6: Final answer
    x = 1,826.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.