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Finding the Fourth Proportional to 10,809.25, 14,920.81 and 8,414.48

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Solution

The fourth proportional to 10,809.25, 14,920.81 and 8,414.48 is: 11,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.25 : 14,920.81 = 8,414.48 : x
  2. Step 2: Convert to fraction form
    10,809.25/14,920.81 = 8,414.48/x
  3. Step 3: Cross multiply
    10,809.25x = 14,920.81 × 8,414.48
  4. Step 4: Simplify right side
    10,809.25x = 125,550,873.59
  5. Step 5: Solve for x
    x = 125,550,873.59/10,809.25
  6. Step 6: Final answer
    x = 11,615.14

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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.