Home / 10,228-14,115.28-5,812

Finding the Fourth Proportional to 10,228, 14,115.28 and 5,812

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Solution

The fourth proportional to 10,228, 14,115.28 and 5,812 is: 8,020.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228 : 14,115.28 = 5,812 : x
  2. Step 2: Convert to fraction form
    10,228/14,115.28 = 5,812/x
  3. Step 3: Cross multiply
    10,228x = 14,115.28 × 5,812
  4. Step 4: Simplify right side
    10,228x = 82,038,007.36
  5. Step 5: Solve for x
    x = 82,038,007.36/10,228
  6. Step 6: Final answer
    x = 8,020.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.