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Finding the Fourth Proportional to 21,998.74, 32,943.42 and 15,394

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Solution

The fourth proportional to 21,998.74, 32,943.42 and 15,394 is: 23,052.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,998.74 : 32,943.42 = 15,394 : x
  2. Step 2: Convert to fraction form
    21,998.74/32,943.42 = 15,394/x
  3. Step 3: Cross multiply
    21,998.74x = 32,943.42 × 15,394
  4. Step 4: Simplify right side
    21,998.74x = 507,131,007.48
  5. Step 5: Solve for x
    x = 507,131,007.48/21,998.74
  6. Step 6: Final answer
    x = 23,052.73

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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.