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Finding the Fourth Proportional to 13,247.84, 19,874.16 and 5,452.40

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Solution

The fourth proportional to 13,247.84, 19,874.16 and 5,452.40 is: 8,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,247.84 : 19,874.16 = 5,452.40 : x
  2. Step 2: Convert to fraction form
    13,247.84/19,874.16 = 5,452.40/x
  3. Step 3: Cross multiply
    13,247.84x = 19,874.16 × 5,452.40
  4. Step 4: Simplify right side
    13,247.84x = 108,361,869.98
  5. Step 5: Solve for x
    x = 108,361,869.98/13,247.84
  6. Step 6: Final answer
    x = 8,179.59

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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.