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Finding the Fourth Proportional to 7,744.14, 10,690.19 and 5,229.66

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Solution

The fourth proportional to 7,744.14, 10,690.19 and 5,229.66 is: 7,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.14 : 10,690.19 = 5,229.66 : x
  2. Step 2: Convert to fraction form
    7,744.14/10,690.19 = 5,229.66/x
  3. Step 3: Cross multiply
    7,744.14x = 10,690.19 × 5,229.66
  4. Step 4: Simplify right side
    7,744.14x = 55,906,032.89
  5. Step 5: Solve for x
    x = 55,906,032.89/7,744.14
  6. Step 6: Final answer
    x = 7,219.14

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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.