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Finding the Fourth Proportional to 7,224.81, 9,963.56 and 5,546.28

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Solution

The fourth proportional to 7,224.81, 9,963.56 and 5,546.28 is: 7,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.81 : 9,963.56 = 5,546.28 : x
  2. Step 2: Convert to fraction form
    7,224.81/9,963.56 = 5,546.28/x
  3. Step 3: Cross multiply
    7,224.81x = 9,963.56 × 5,546.28
  4. Step 4: Simplify right side
    7,224.81x = 55,260,693.56
  5. Step 5: Solve for x
    x = 55,260,693.56/7,224.81
  6. Step 6: Final answer
    x = 7,648.74

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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.