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Finding the Fourth Proportional to 2,442, 3,369.96 and 1,338

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Solution

The fourth proportional to 2,442, 3,369.96 and 1,338 is: 1,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442 : 3,369.96 = 1,338 : x
  2. Step 2: Convert to fraction form
    2,442/3,369.96 = 1,338/x
  3. Step 3: Cross multiply
    2,442x = 3,369.96 × 1,338
  4. Step 4: Simplify right side
    2,442x = 4,509,006.48
  5. Step 5: Solve for x
    x = 4,509,006.48/2,442
  6. Step 6: Final answer
    x = 1,846.44

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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.