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Finding the Fourth Proportional to 25,175, 37,762.82 and 8,759

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Solution

The fourth proportional to 25,175, 37,762.82 and 8,759 is: 13,138.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,175 : 37,762.82 = 8,759 : x
  2. Step 2: Convert to fraction form
    25,175/37,762.82 = 8,759/x
  3. Step 3: Cross multiply
    25,175x = 37,762.82 × 8,759
  4. Step 4: Simplify right side
    25,175x = 330,764,540.38
  5. Step 5: Solve for x
    x = 330,764,540.38/25,175
  6. Step 6: Final answer
    x = 13,138.61

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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.