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Finding the Fourth Proportional to 17,319.05, 25,978.58 and 4,171.42

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Solution

The fourth proportional to 17,319.05, 25,978.58 and 4,171.42 is: 6,257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,319.05 : 25,978.58 = 4,171.42 : x
  2. Step 2: Convert to fraction form
    17,319.05/25,978.58 = 4,171.42/x
  3. Step 3: Cross multiply
    17,319.05x = 25,978.58 × 4,171.42
  4. Step 4: Simplify right side
    17,319.05x = 108,367,568.18
  5. Step 5: Solve for x
    x = 108,367,568.18/17,319.05
  6. Step 6: Final answer
    x = 6,257.13

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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.