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Finding the Fourth Proportional to 7,375.72, 10,178.64 and 4,231.96

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Solution

The fourth proportional to 7,375.72, 10,178.64 and 4,231.96 is: 5,840.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,375.72 : 10,178.64 = 4,231.96 : x
  2. Step 2: Convert to fraction form
    7,375.72/10,178.64 = 4,231.96/x
  3. Step 3: Cross multiply
    7,375.72x = 10,178.64 × 4,231.96
  4. Step 4: Simplify right side
    7,375.72x = 43,075,597.33
  5. Step 5: Solve for x
    x = 43,075,597.33/7,375.72
  6. Step 6: Final answer
    x = 5,840.19

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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.