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Finding the Fourth Proportional to 23,052.25, 31,812.69 and 12,981.07

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Solution

The fourth proportional to 23,052.25, 31,812.69 and 12,981.07 is: 17,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,052.25 : 31,812.69 = 12,981.07 : x
  2. Step 2: Convert to fraction form
    23,052.25/31,812.69 = 12,981.07/x
  3. Step 3: Cross multiply
    23,052.25x = 31,812.69 × 12,981.07
  4. Step 4: Simplify right side
    23,052.25x = 412,962,755.78
  5. Step 5: Solve for x
    x = 412,962,755.78/23,052.25
  6. Step 6: Final answer
    x = 17,914.21

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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.