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Finding the Fourth Proportional to 3,639, 5,023.08 and 2,241.78

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Solution

The fourth proportional to 3,639, 5,023.08 and 2,241.78 is: 3,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639 : 5,023.08 = 2,241.78 : x
  2. Step 2: Convert to fraction form
    3,639/5,023.08 = 2,241.78/x
  3. Step 3: Cross multiply
    3,639x = 5,023.08 × 2,241.78
  4. Step 4: Simplify right side
    3,639x = 11,260,640.28
  5. Step 5: Solve for x
    x = 11,260,640.28/3,639
  6. Step 6: Final answer
    x = 3,094.43

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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.