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Finding the Fourth Proportional to 25,189.50, 34,762.11 and 13,859.61

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Solution

The fourth proportional to 25,189.50, 34,762.11 and 13,859.61 is: 19,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,189.50 : 34,762.11 = 13,859.61 : x
  2. Step 2: Convert to fraction form
    25,189.50/34,762.11 = 13,859.61/x
  3. Step 3: Cross multiply
    25,189.50x = 34,762.11 × 13,859.61
  4. Step 4: Simplify right side
    25,189.50x = 481,789,287.38
  5. Step 5: Solve for x
    x = 481,789,287.38/25,189.50
  6. Step 6: Final answer
    x = 19,126.59

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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.