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Finding the Fourth Proportional to 25,704.80, 38,515.80 and 14,578.40

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Solution

The fourth proportional to 25,704.80, 38,515.80 and 14,578.40 is: 21,844.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,704.80 : 38,515.80 = 14,578.40 : x
  2. Step 2: Convert to fraction form
    25,704.80/38,515.80 = 14,578.40/x
  3. Step 3: Cross multiply
    25,704.80x = 38,515.80 × 14,578.40
  4. Step 4: Simplify right side
    25,704.80x = 561,498,738.72
  5. Step 5: Solve for x
    x = 561,498,738.72/25,704.80
  6. Step 6: Final answer
    x = 21,844.12

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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.