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Finding the Fourth Proportional to 21,991.50, 30,350.19 and 12,057.42

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Solution

The fourth proportional to 21,991.50, 30,350.19 and 12,057.42 is: 16,640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,991.50 : 30,350.19 = 12,057.42 : x
  2. Step 2: Convert to fraction form
    21,991.50/30,350.19 = 12,057.42/x
  3. Step 3: Cross multiply
    21,991.50x = 30,350.19 × 12,057.42
  4. Step 4: Simplify right side
    21,991.50x = 365,944,987.91
  5. Step 5: Solve for x
    x = 365,944,987.91/21,991.50
  6. Step 6: Final answer
    x = 16,640.29

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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.