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Finding the Fourth Proportional to 7,578.44, 11,359.68 and 5,230.82

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Solution

The fourth proportional to 7,578.44, 11,359.68 and 5,230.82 is: 7,840.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.44 : 11,359.68 = 5,230.82 : x
  2. Step 2: Convert to fraction form
    7,578.44/11,359.68 = 5,230.82/x
  3. Step 3: Cross multiply
    7,578.44x = 11,359.68 × 5,230.82
  4. Step 4: Simplify right side
    7,578.44x = 59,420,441.34
  5. Step 5: Solve for x
    x = 59,420,441.34/7,578.44
  6. Step 6: Final answer
    x = 7,840.72

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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.