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Finding the Fourth Proportional to 22,546.50, 31,112.19 and 12,474.78

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Solution

The fourth proportional to 22,546.50, 31,112.19 and 12,474.78 is: 17,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.50 : 31,112.19 = 12,474.78 : x
  2. Step 2: Convert to fraction form
    22,546.50/31,112.19 = 12,474.78/x
  3. Step 3: Cross multiply
    22,546.50x = 31,112.19 × 12,474.78
  4. Step 4: Simplify right side
    22,546.50x = 388,117,725.57
  5. Step 5: Solve for x
    x = 388,117,725.57/22,546.50
  6. Step 6: Final answer
    x = 17,214.10

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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.