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Finding the Fourth Proportional to 7,631.84, 11,396.84 and 5,969.72

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Solution

The fourth proportional to 7,631.84, 11,396.84 and 5,969.72 is: 8,914.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,631.84 : 11,396.84 = 5,969.72 : x
  2. Step 2: Convert to fraction form
    7,631.84/11,396.84 = 5,969.72/x
  3. Step 3: Cross multiply
    7,631.84x = 11,396.84 × 5,969.72
  4. Step 4: Simplify right side
    7,631.84x = 68,035,943.68
  5. Step 5: Solve for x
    x = 68,035,943.68/7,631.84
  6. Step 6: Final answer
    x = 8,914.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.