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Finding the Fourth Proportional to 22,309, 30,786.44 and 12,373

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Solution

The fourth proportional to 22,309, 30,786.44 and 12,373 is: 17,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309 : 30,786.44 = 12,373 : x
  2. Step 2: Convert to fraction form
    22,309/30,786.44 = 12,373/x
  3. Step 3: Cross multiply
    22,309x = 30,786.44 × 12,373
  4. Step 4: Simplify right side
    22,309x = 380,920,622.12
  5. Step 5: Solve for x
    x = 380,920,622.12/22,309
  6. Step 6: Final answer
    x = 17,074.75

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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.