Home / 19,422-29,138.22-7,743.42

Finding the Fourth Proportional to 19,422, 29,138.22 and 7,743.42

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Solution

The fourth proportional to 19,422, 29,138.22 and 7,743.42 is: 11,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,422 : 29,138.22 = 7,743.42 : x
  2. Step 2: Convert to fraction form
    19,422/29,138.22 = 7,743.42/x
  3. Step 3: Cross multiply
    19,422x = 29,138.22 × 7,743.42
  4. Step 4: Simplify right side
    19,422x = 225,629,475.51
  5. Step 5: Solve for x
    x = 225,629,475.51/19,422
  6. Step 6: Final answer
    x = 11,617.21

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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.