Home / 2,313.28-3,471-1,340.20

Finding the Fourth Proportional to 2,313.28, 3,471 and 1,340.20

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Solution

The fourth proportional to 2,313.28, 3,471 and 1,340.20 is: 2,010.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.28 : 3,471 = 1,340.20 : x
  2. Step 2: Convert to fraction form
    2,313.28/3,471 = 1,340.20/x
  3. Step 3: Cross multiply
    2,313.28x = 3,471 × 1,340.20
  4. Step 4: Simplify right side
    2,313.28x = 4,651,834.20
  5. Step 5: Solve for x
    x = 4,651,834.20/2,313.28
  6. Step 6: Final answer
    x = 2,010.93

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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.