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Finding the Fourth Proportional to 16,817.65, 25,217.71 and 6,279

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Solution

The fourth proportional to 16,817.65, 25,217.71 and 6,279 is: 9,415.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,817.65 : 25,217.71 = 6,279 : x
  2. Step 2: Convert to fraction form
    16,817.65/25,217.71 = 6,279/x
  3. Step 3: Cross multiply
    16,817.65x = 25,217.71 × 6,279
  4. Step 4: Simplify right side
    16,817.65x = 158,342,001.09
  5. Step 5: Solve for x
    x = 158,342,001.09/16,817.65
  6. Step 6: Final answer
    x = 9,415.23

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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.