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Finding the Fourth Proportional to 25,081, 37,638.81 and 8,665

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Solution

The fourth proportional to 25,081, 37,638.81 and 8,665 is: 13,003.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,081 : 37,638.81 = 8,665 : x
  2. Step 2: Convert to fraction form
    25,081/37,638.81 = 8,665/x
  3. Step 3: Cross multiply
    25,081x = 37,638.81 × 8,665
  4. Step 4: Simplify right side
    25,081x = 326,140,288.65
  5. Step 5: Solve for x
    x = 326,140,288.65/25,081
  6. Step 6: Final answer
    x = 13,003.48

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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.