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Finding the Fourth Proportional to 7,322.94, 10,105.83 and 4,179.42

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Solution

The fourth proportional to 7,322.94, 10,105.83 and 4,179.42 is: 5,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.94 : 10,105.83 = 4,179.42 : x
  2. Step 2: Convert to fraction form
    7,322.94/10,105.83 = 4,179.42/x
  3. Step 3: Cross multiply
    7,322.94x = 10,105.83 × 4,179.42
  4. Step 4: Simplify right side
    7,322.94x = 42,236,508.02
  5. Step 5: Solve for x
    x = 42,236,508.02/7,322.94
  6. Step 6: Final answer
    x = 5,767.70

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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.