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Finding the Fourth Proportional to 2,076.12, 3,114.36 and 615.24

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Solution

The fourth proportional to 2,076.12, 3,114.36 and 615.24 is: 922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.12 : 3,114.36 = 615.24 : x
  2. Step 2: Convert to fraction form
    2,076.12/3,114.36 = 615.24/x
  3. Step 3: Cross multiply
    2,076.12x = 3,114.36 × 615.24
  4. Step 4: Simplify right side
    2,076.12x = 1,916,078.85
  5. Step 5: Solve for x
    x = 1,916,078.85/2,076.12
  6. Step 6: Final answer
    x = 922.91

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1.5x scale

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.