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Finding the Fourth Proportional to 2,096.60, 3,144.11 and 615.33

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Solution

The fourth proportional to 2,096.60, 3,144.11 and 615.33 is: 922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.60 : 3,144.11 = 615.33 : x
  2. Step 2: Convert to fraction form
    2,096.60/3,144.11 = 615.33/x
  3. Step 3: Cross multiply
    2,096.60x = 3,144.11 × 615.33
  4. Step 4: Simplify right side
    2,096.60x = 1,934,662.13
  5. Step 5: Solve for x
    x = 1,934,662.13/2,096.60
  6. Step 6: Final answer
    x = 922.76

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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.