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Finding the Fourth Proportional to 21,469.65, 32,209.97 and 6,678.70

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Solution

The fourth proportional to 21,469.65, 32,209.97 and 6,678.70 is: 10,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,469.65 : 32,209.97 = 6,678.70 : x
  2. Step 2: Convert to fraction form
    21,469.65/32,209.97 = 6,678.70/x
  3. Step 3: Cross multiply
    21,469.65x = 32,209.97 × 6,678.70
  4. Step 4: Simplify right side
    21,469.65x = 215,120,612.72
  5. Step 5: Solve for x
    x = 215,120,612.72/21,469.65
  6. Step 6: Final answer
    x = 10,019.75

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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.