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Finding the Fourth Proportional to 22,405.78, 30,920.40 and 12,979.80

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Solution

The fourth proportional to 22,405.78, 30,920.40 and 12,979.80 is: 17,912.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.78 : 30,920.40 = 12,979.80 : x
  2. Step 2: Convert to fraction form
    22,405.78/30,920.40 = 12,979.80/x
  3. Step 3: Cross multiply
    22,405.78x = 30,920.40 × 12,979.80
  4. Step 4: Simplify right side
    22,405.78x = 401,340,607.92
  5. Step 5: Solve for x
    x = 401,340,607.92/22,405.78
  6. Step 6: Final answer
    x = 17,912.37

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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.