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Finding the Fourth Proportional to 7,243.71, 10,865.47 and 2,313.29

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Solution

The fourth proportional to 7,243.71, 10,865.47 and 2,313.29 is: 3,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.71 : 10,865.47 = 2,313.29 : x
  2. Step 2: Convert to fraction form
    7,243.71/10,865.47 = 2,313.29/x
  3. Step 3: Cross multiply
    7,243.71x = 10,865.47 × 2,313.29
  4. Step 4: Simplify right side
    7,243.71x = 25,134,983.10
  5. Step 5: Solve for x
    x = 25,134,983.10/7,243.71
  6. Step 6: Final answer
    x = 3,469.90

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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.