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Finding the Fourth Proportional to 21,640.86, 29,865.78 and 12,209.22

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Solution

The fourth proportional to 21,640.86, 29,865.78 and 12,209.22 is: 16,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,640.86 : 29,865.78 = 12,209.22 : x
  2. Step 2: Convert to fraction form
    21,640.86/29,865.78 = 12,209.22/x
  3. Step 3: Cross multiply
    21,640.86x = 29,865.78 × 12,209.22
  4. Step 4: Simplify right side
    21,640.86x = 364,637,878.49
  5. Step 5: Solve for x
    x = 364,637,878.49/21,640.86
  6. Step 6: Final answer
    x = 16,849.51

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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.