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Finding the Fourth Proportional to 2,076.37, 3,114.57 and 615.55

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Solution

The fourth proportional to 2,076.37, 3,114.57 and 615.55 is: 923.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.37 : 3,114.57 = 615.55 : x
  2. Step 2: Convert to fraction form
    2,076.37/3,114.57 = 615.55/x
  3. Step 3: Cross multiply
    2,076.37x = 3,114.57 × 615.55
  4. Step 4: Simplify right side
    2,076.37x = 1,917,173.56
  5. Step 5: Solve for x
    x = 1,917,173.56/2,076.37
  6. Step 6: Final answer
    x = 923.33

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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.