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Finding the Fourth Proportional to 21,781.86, 30,059.22 and 12,223.86

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Solution

The fourth proportional to 21,781.86, 30,059.22 and 12,223.86 is: 16,869.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.86 : 30,059.22 = 12,223.86 : x
  2. Step 2: Convert to fraction form
    21,781.86/30,059.22 = 12,223.86/x
  3. Step 3: Cross multiply
    21,781.86x = 30,059.22 × 12,223.86
  4. Step 4: Simplify right side
    21,781.86x = 367,439,696.99
  5. Step 5: Solve for x
    x = 367,439,696.99/21,781.86
  6. Step 6: Final answer
    x = 16,869.07

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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.