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Finding the Fourth Proportional to 3,654, 5,042.44 and 2,238.24

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Solution

The fourth proportional to 3,654, 5,042.44 and 2,238.24 is: 3,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654 : 5,042.44 = 2,238.24 : x
  2. Step 2: Convert to fraction form
    3,654/5,042.44 = 2,238.24/x
  3. Step 3: Cross multiply
    3,654x = 5,042.44 × 2,238.24
  4. Step 4: Simplify right side
    3,654x = 11,286,190.91
  5. Step 5: Solve for x
    x = 11,286,190.91/3,654
  6. Step 6: Final answer
    x = 3,088.72

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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.