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Finding the Fourth Proportional to 4,378.38, 6,042 and 2,388.91

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Solution

The fourth proportional to 4,378.38, 6,042 and 2,388.91 is: 3,296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378.38 : 6,042 = 2,388.91 : x
  2. Step 2: Convert to fraction form
    4,378.38/6,042 = 2,388.91/x
  3. Step 3: Cross multiply
    4,378.38x = 6,042 × 2,388.91
  4. Step 4: Simplify right side
    4,378.38x = 14,433,794.22
  5. Step 5: Solve for x
    x = 14,433,794.22/4,378.38
  6. Step 6: Final answer
    x = 3,296.61

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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.