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Finding the Fourth Proportional to 7,226.22, 9,969.23 and 5,728.13

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Solution

The fourth proportional to 7,226.22, 9,969.23 and 5,728.13 is: 7,902.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.22 : 9,969.23 = 5,728.13 : x
  2. Step 2: Convert to fraction form
    7,226.22/9,969.23 = 5,728.13/x
  3. Step 3: Cross multiply
    7,226.22x = 9,969.23 × 5,728.13
  4. Step 4: Simplify right side
    7,226.22x = 57,105,009.91
  5. Step 5: Solve for x
    x = 57,105,009.91/7,226.22
  6. Step 6: Final answer
    x = 7,902.47

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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.