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Finding the Fourth Proportional to 21,937.75, 30,274.01 and 11,866.22

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Solution

The fourth proportional to 21,937.75, 30,274.01 and 11,866.22 is: 16,375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,937.75 : 30,274.01 = 11,866.22 : x
  2. Step 2: Convert to fraction form
    21,937.75/30,274.01 = 11,866.22/x
  3. Step 3: Cross multiply
    21,937.75x = 30,274.01 × 11,866.22
  4. Step 4: Simplify right side
    21,937.75x = 359,238,010.27
  5. Step 5: Solve for x
    x = 359,238,010.27/21,937.75
  6. Step 6: Final answer
    x = 16,375.33

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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.