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Finding the Fourth Proportional to 7,568, 11,343.92 and 3,663.84

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Solution

The fourth proportional to 7,568, 11,343.92 and 3,663.84 is: 5,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568 : 11,343.92 = 3,663.84 : x
  2. Step 2: Convert to fraction form
    7,568/11,343.92 = 3,663.84/x
  3. Step 3: Cross multiply
    7,568x = 11,343.92 × 3,663.84
  4. Step 4: Simplify right side
    7,568x = 41,562,307.85
  5. Step 5: Solve for x
    x = 41,562,307.85/7,568
  6. Step 6: Final answer
    x = 5,491.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.