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Finding the Fourth Proportional to 7,198.46, 10,789.49 and 4,381.07

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Solution

The fourth proportional to 7,198.46, 10,789.49 and 4,381.07 is: 6,566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.46 : 10,789.49 = 4,381.07 : x
  2. Step 2: Convert to fraction form
    7,198.46/10,789.49 = 4,381.07/x
  3. Step 3: Cross multiply
    7,198.46x = 10,789.49 × 4,381.07
  4. Step 4: Simplify right side
    7,198.46x = 47,269,569.11
  5. Step 5: Solve for x
    x = 47,269,569.11/7,198.46
  6. Step 6: Final answer
    x = 6,566.63

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