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Finding the Fourth Proportional to 7,535.97, 10,399.68 and 4,178.84

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Solution

The fourth proportional to 7,535.97, 10,399.68 and 4,178.84 is: 5,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.97 : 10,399.68 = 4,178.84 : x
  2. Step 2: Convert to fraction form
    7,535.97/10,399.68 = 4,178.84/x
  3. Step 3: Cross multiply
    7,535.97x = 10,399.68 × 4,178.84
  4. Step 4: Simplify right side
    7,535.97x = 43,458,546.77
  5. Step 5: Solve for x
    x = 43,458,546.77/7,535.97
  6. Step 6: Final answer
    x = 5,766.82

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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.