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Finding the Fourth Proportional to 2,650.60, 3,984.90 and 2,167.16

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Solution

The fourth proportional to 2,650.60, 3,984.90 and 2,167.16 is: 3,258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.60 : 3,984.90 = 2,167.16 : x
  2. Step 2: Convert to fraction form
    2,650.60/3,984.90 = 2,167.16/x
  3. Step 3: Cross multiply
    2,650.60x = 3,984.90 × 2,167.16
  4. Step 4: Simplify right side
    2,650.60x = 8,635,915.88
  5. Step 5: Solve for x
    x = 8,635,915.88/2,650.60
  6. Step 6: Final answer
    x = 3,258.10

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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.