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Finding the Fourth Proportional to 25,041, 34,557.72 and 13,863

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Solution

The fourth proportional to 25,041, 34,557.72 and 13,863 is: 19,131.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,041 : 34,557.72 = 13,863 : x
  2. Step 2: Convert to fraction form
    25,041/34,557.72 = 13,863/x
  3. Step 3: Cross multiply
    25,041x = 34,557.72 × 13,863
  4. Step 4: Simplify right side
    25,041x = 479,073,672.36
  5. Step 5: Solve for x
    x = 479,073,672.36/25,041
  6. Step 6: Final answer
    x = 19,131.57

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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.