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Finding the Fourth Proportional to 21,874.70, 30,189.35 and 13,382.48

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Solution

The fourth proportional to 21,874.70, 30,189.35 and 13,382.48 is: 18,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.70 : 30,189.35 = 13,382.48 : x
  2. Step 2: Convert to fraction form
    21,874.70/30,189.35 = 13,382.48/x
  3. Step 3: Cross multiply
    21,874.70x = 30,189.35 × 13,382.48
  4. Step 4: Simplify right side
    21,874.70x = 404,008,221.64
  5. Step 5: Solve for x
    x = 404,008,221.64/21,874.70
  6. Step 6: Final answer
    x = 18,469.20

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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.