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Finding the Fourth Proportional to 2,874.78, 3,969 and 2,244.20

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Solution

The fourth proportional to 2,874.78, 3,969 and 2,244.20 is: 3,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.78 : 3,969 = 2,244.20 : x
  2. Step 2: Convert to fraction form
    2,874.78/3,969 = 2,244.20/x
  3. Step 3: Cross multiply
    2,874.78x = 3,969 × 2,244.20
  4. Step 4: Simplify right side
    2,874.78x = 8,907,209.96
  5. Step 5: Solve for x
    x = 8,907,209.96/2,874.78
  6. Step 6: Final answer
    x = 3,098.40

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1.5x scale

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.