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Finding the Fourth Proportional to 22,263.36, 30,723.10 and 12,191.72

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Solution

The fourth proportional to 22,263.36, 30,723.10 and 12,191.72 is: 16,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,263.36 : 30,723.10 = 12,191.72 : x
  2. Step 2: Convert to fraction form
    22,263.36/30,723.10 = 12,191.72/x
  3. Step 3: Cross multiply
    22,263.36x = 30,723.10 × 12,191.72
  4. Step 4: Simplify right side
    22,263.36x = 374,567,248.64
  5. Step 5: Solve for x
    x = 374,567,248.64/22,263.36
  6. Step 6: Final answer
    x = 16,824.38

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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.