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Finding the Fourth Proportional to 7,245.24, 9,997.74 and 5,756.76

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Solution

The fourth proportional to 7,245.24, 9,997.74 and 5,756.76 is: 7,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.24 : 9,997.74 = 5,756.76 : x
  2. Step 2: Convert to fraction form
    7,245.24/9,997.74 = 5,756.76/x
  3. Step 3: Cross multiply
    7,245.24x = 9,997.74 × 5,756.76
  4. Step 4: Simplify right side
    7,245.24x = 57,554,589.72
  5. Step 5: Solve for x
    x = 57,554,589.72/7,245.24
  6. Step 6: Final answer
    x = 7,943.78

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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.