Home / 2,313.67-3,470.82-1,143.75

Finding the Fourth Proportional to 2,313.67, 3,470.82 and 1,143.75

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Solution

The fourth proportional to 2,313.67, 3,470.82 and 1,143.75 is: 1,715.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.67 : 3,470.82 = 1,143.75 : x
  2. Step 2: Convert to fraction form
    2,313.67/3,470.82 = 1,143.75/x
  3. Step 3: Cross multiply
    2,313.67x = 3,470.82 × 1,143.75
  4. Step 4: Simplify right side
    2,313.67x = 3,969,750.38
  5. Step 5: Solve for x
    x = 3,969,750.38/2,313.67
  6. Step 6: Final answer
    x = 1,715.78

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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.