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Finding the Fourth Proportional to 30,279.69, 41,781.86 and 16,849.22

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Solution

The fourth proportional to 30,279.69, 41,781.86 and 16,849.22 is: 23,249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,279.69 : 41,781.86 = 16,849.22 : x
  2. Step 2: Convert to fraction form
    30,279.69/41,781.86 = 16,849.22/x
  3. Step 3: Cross multiply
    30,279.69x = 41,781.86 × 16,849.22
  4. Step 4: Simplify right side
    30,279.69x = 703,991,521.18
  5. Step 5: Solve for x
    x = 703,991,521.18/30,279.69
  6. Step 6: Final answer
    x = 23,249.63

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1.5x scale

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.