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Finding the Fourth Proportional to 17,155.80, 25,738.56 and 10,142.01

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Solution

The fourth proportional to 17,155.80, 25,738.56 and 10,142.01 is: 15,215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,155.80 : 25,738.56 = 10,142.01 : x
  2. Step 2: Convert to fraction form
    17,155.80/25,738.56 = 10,142.01/x
  3. Step 3: Cross multiply
    17,155.80x = 25,738.56 × 10,142.01
  4. Step 4: Simplify right side
    17,155.80x = 261,040,732.91
  5. Step 5: Solve for x
    x = 261,040,732.91/17,155.80
  6. Step 6: Final answer
    x = 15,215.89

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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.