Home / 12,422-17,142.40-6,833.04

Finding the Fourth Proportional to 12,422, 17,142.40 and 6,833.04

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Solution

The fourth proportional to 12,422, 17,142.40 and 6,833.04 is: 9,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422 : 17,142.40 = 6,833.04 : x
  2. Step 2: Convert to fraction form
    12,422/17,142.40 = 6,833.04/x
  3. Step 3: Cross multiply
    12,422x = 17,142.40 × 6,833.04
  4. Step 4: Simplify right side
    12,422x = 117,134,704.90
  5. Step 5: Solve for x
    x = 117,134,704.90/12,422
  6. Step 6: Final answer
    x = 9,429.62

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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.