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Finding the Fourth Proportional to 25,450, 35,121.18 and 15,514

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Solution

The fourth proportional to 25,450, 35,121.18 and 15,514 is: 21,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,450 : 35,121.18 = 15,514 : x
  2. Step 2: Convert to fraction form
    25,450/35,121.18 = 15,514/x
  3. Step 3: Cross multiply
    25,450x = 35,121.18 × 15,514
  4. Step 4: Simplify right side
    25,450x = 544,869,986.52
  5. Step 5: Solve for x
    x = 544,869,986.52/25,450
  6. Step 6: Final answer
    x = 21,409.43

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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.