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Finding the Fourth Proportional to 21,195.75, 31,799.31 and 7,344.75

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Solution

The fourth proportional to 21,195.75, 31,799.31 and 7,344.75 is: 11,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,195.75 : 31,799.31 = 7,344.75 : x
  2. Step 2: Convert to fraction form
    21,195.75/31,799.31 = 7,344.75/x
  3. Step 3: Cross multiply
    21,195.75x = 31,799.31 × 7,344.75
  4. Step 4: Simplify right side
    21,195.75x = 233,557,982.12
  5. Step 5: Solve for x
    x = 233,557,982.12/21,195.75
  6. Step 6: Final answer
    x = 11,019.09

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1.5x scale

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.