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Finding the Fourth Proportional to 25,500, 35,190 and 14,324.16

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Solution

The fourth proportional to 25,500, 35,190 and 14,324.16 is: 19,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,500 : 35,190 = 14,324.16 : x
  2. Step 2: Convert to fraction form
    25,500/35,190 = 14,324.16/x
  3. Step 3: Cross multiply
    25,500x = 35,190 × 14,324.16
  4. Step 4: Simplify right side
    25,500x = 504,067,190.40
  5. Step 5: Solve for x
    x = 504,067,190.40/25,500
  6. Step 6: Final answer
    x = 19,767.34

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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.