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Finding the Fourth Proportional to 22,364.97, 30,861.18 and 13,412.85

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Solution

The fourth proportional to 22,364.97, 30,861.18 and 13,412.85 is: 18,508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364.97 : 30,861.18 = 13,412.85 : x
  2. Step 2: Convert to fraction form
    22,364.97/30,861.18 = 13,412.85/x
  3. Step 3: Cross multiply
    22,364.97x = 30,861.18 × 13,412.85
  4. Step 4: Simplify right side
    22,364.97x = 413,936,378.16
  5. Step 5: Solve for x
    x = 413,936,378.16/22,364.97
  6. Step 6: Final answer
    x = 18,508.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.