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Finding the Fourth Proportional to 8,961.68, 13,424.02 and 5,252.64

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Solution

The fourth proportional to 8,961.68, 13,424.02 and 5,252.64 is: 7,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.68 : 13,424.02 = 5,252.64 : x
  2. Step 2: Convert to fraction form
    8,961.68/13,424.02 = 5,252.64/x
  3. Step 3: Cross multiply
    8,961.68x = 13,424.02 × 5,252.64
  4. Step 4: Simplify right side
    8,961.68x = 70,511,544.41
  5. Step 5: Solve for x
    x = 70,511,544.41/8,961.68
  6. Step 6: Final answer
    x = 7,868.12

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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.