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Finding the Fourth Proportional to 2,627.08, 3,940.19 and 872.02

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Solution

The fourth proportional to 2,627.08, 3,940.19 and 872.02 is: 1,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.08 : 3,940.19 = 872.02 : x
  2. Step 2: Convert to fraction form
    2,627.08/3,940.19 = 872.02/x
  3. Step 3: Cross multiply
    2,627.08x = 3,940.19 × 872.02
  4. Step 4: Simplify right side
    2,627.08x = 3,435,911.06
  5. Step 5: Solve for x
    x = 3,435,911.06/2,627.08
  6. Step 6: Final answer
    x = 1,307.88

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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.