Home / 2,096.07-3,143.79-614.90

Finding the Fourth Proportional to 2,096.07, 3,143.79 and 614.90

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Solution

The fourth proportional to 2,096.07, 3,143.79 and 614.90 is: 922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.07 : 3,143.79 = 614.90 : x
  2. Step 2: Convert to fraction form
    2,096.07/3,143.79 = 614.90/x
  3. Step 3: Cross multiply
    2,096.07x = 3,143.79 × 614.90
  4. Step 4: Simplify right side
    2,096.07x = 1,933,100.75
  5. Step 5: Solve for x
    x = 1,933,100.75/2,096.07
  6. Step 6: Final answer
    x = 922.25

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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.