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Finding the Fourth Proportional to 23,721, 35,581.56 and 8,139.84

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Solution

The fourth proportional to 23,721, 35,581.56 and 8,139.84 is: 12,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,721 : 35,581.56 = 8,139.84 : x
  2. Step 2: Convert to fraction form
    23,721/35,581.56 = 8,139.84/x
  3. Step 3: Cross multiply
    23,721x = 35,581.56 × 8,139.84
  4. Step 4: Simplify right side
    23,721x = 289,628,205.35
  5. Step 5: Solve for x
    x = 289,628,205.35/23,721
  6. Step 6: Final answer
    x = 12,209.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.