Home / 8,422.24-12,634-2,182.16

Finding the Fourth Proportional to 8,422.24, 12,634 and 2,182.16

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Solution

The fourth proportional to 8,422.24, 12,634 and 2,182.16 is: 3,273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.24 : 12,634 = 2,182.16 : x
  2. Step 2: Convert to fraction form
    8,422.24/12,634 = 2,182.16/x
  3. Step 3: Cross multiply
    8,422.24x = 12,634 × 2,182.16
  4. Step 4: Simplify right side
    8,422.24x = 27,569,409.44
  5. Step 5: Solve for x
    x = 27,569,409.44/8,422.24
  6. Step 6: Final answer
    x = 3,273.41

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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.