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Finding the Fourth Proportional to 17,071.20, 25,611.81 and 8,757

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Solution

The fourth proportional to 17,071.20, 25,611.81 and 8,757 is: 13,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,071.20 : 25,611.81 = 8,757 : x
  2. Step 2: Convert to fraction form
    17,071.20/25,611.81 = 8,757/x
  3. Step 3: Cross multiply
    17,071.20x = 25,611.81 × 8,757
  4. Step 4: Simplify right side
    17,071.20x = 224,282,620.17
  5. Step 5: Solve for x
    x = 224,282,620.17/17,071.20
  6. Step 6: Final answer
    x = 13,138.07

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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.