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Finding the Fourth Proportional to 22,264.46, 30,693.29 and 13,761.78

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Solution

The fourth proportional to 22,264.46, 30,693.29 and 13,761.78 is: 18,971.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264.46 : 30,693.29 = 13,761.78 : x
  2. Step 2: Convert to fraction form
    22,264.46/30,693.29 = 13,761.78/x
  3. Step 3: Cross multiply
    22,264.46x = 30,693.29 × 13,761.78
  4. Step 4: Simplify right side
    22,264.46x = 422,394,235.65
  5. Step 5: Solve for x
    x = 422,394,235.65/22,264.46
  6. Step 6: Final answer
    x = 18,971.69

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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.