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Finding the Fourth Proportional to 6,744.24, 9,278.28 and 5,169.60

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Solution

The fourth proportional to 6,744.24, 9,278.28 and 5,169.60 is: 7,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.24 : 9,278.28 = 5,169.60 : x
  2. Step 2: Convert to fraction form
    6,744.24/9,278.28 = 5,169.60/x
  3. Step 3: Cross multiply
    6,744.24x = 9,278.28 × 5,169.60
  4. Step 4: Simplify right side
    6,744.24x = 47,964,996.29
  5. Step 5: Solve for x
    x = 47,964,996.29/6,744.24
  6. Step 6: Final answer
    x = 7,111.99

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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.