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Finding the Fourth Proportional to 25,647.70, 38,467.70 and 8,115.25

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Solution

The fourth proportional to 25,647.70, 38,467.70 and 8,115.25 is: 12,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,647.70 : 38,467.70 = 8,115.25 : x
  2. Step 2: Convert to fraction form
    25,647.70/38,467.70 = 8,115.25/x
  3. Step 3: Cross multiply
    25,647.70x = 38,467.70 × 8,115.25
  4. Step 4: Simplify right side
    25,647.70x = 312,175,002.43
  5. Step 5: Solve for x
    x = 312,175,002.43/25,647.70
  6. Step 6: Final answer
    x = 12,171.66

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1.5x scale

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.