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Finding the Fourth Proportional to 30,279, 41,785.02 and 17,031

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Solution

The fourth proportional to 30,279, 41,785.02 and 17,031 is: 23,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,279 : 41,785.02 = 17,031 : x
  2. Step 2: Convert to fraction form
    30,279/41,785.02 = 17,031/x
  3. Step 3: Cross multiply
    30,279x = 41,785.02 × 17,031
  4. Step 4: Simplify right side
    30,279x = 711,640,675.62
  5. Step 5: Solve for x
    x = 711,640,675.62/30,279
  6. Step 6: Final answer
    x = 23,502.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.