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Finding the Fourth Proportional to 2,076.38, 3,114.05 and 615.20

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Solution

The fourth proportional to 2,076.38, 3,114.05 and 615.20 is: 922.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.38 : 3,114.05 = 615.20 : x
  2. Step 2: Convert to fraction form
    2,076.38/3,114.05 = 615.20/x
  3. Step 3: Cross multiply
    2,076.38x = 3,114.05 × 615.20
  4. Step 4: Simplify right side
    2,076.38x = 1,915,744.91
  5. Step 5: Solve for x
    x = 1,915,744.91/2,076.38
  6. Step 6: Final answer
    x = 922.64

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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.