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Finding the Fourth Proportional to 2,627.46, 3,941.32 and 872.62

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Solution

The fourth proportional to 2,627.46, 3,941.32 and 872.62 is: 1,308.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.46 : 3,941.32 = 872.62 : x
  2. Step 2: Convert to fraction form
    2,627.46/3,941.32 = 872.62/x
  3. Step 3: Cross multiply
    2,627.46x = 3,941.32 × 872.62
  4. Step 4: Simplify right side
    2,627.46x = 3,439,274.66
  5. Step 5: Solve for x
    x = 3,439,274.66/2,627.46
  6. Step 6: Final answer
    x = 1,308.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.