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Finding the Fourth Proportional to 19,874.60, 27,414.78 and 11,802.78

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Solution

The fourth proportional to 19,874.60, 27,414.78 and 11,802.78 is: 16,280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.60 : 27,414.78 = 11,802.78 : x
  2. Step 2: Convert to fraction form
    19,874.60/27,414.78 = 11,802.78/x
  3. Step 3: Cross multiply
    19,874.60x = 27,414.78 × 11,802.78
  4. Step 4: Simplify right side
    19,874.60x = 323,570,617.09
  5. Step 5: Solve for x
    x = 323,570,617.09/19,874.60
  6. Step 6: Final answer
    x = 16,280.61

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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.