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Finding the Fourth Proportional to 13,144.96, 19,717.76 and 6,220.16

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Solution

The fourth proportional to 13,144.96, 19,717.76 and 6,220.16 is: 9,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144.96 : 19,717.76 = 6,220.16 : x
  2. Step 2: Convert to fraction form
    13,144.96/19,717.76 = 6,220.16/x
  3. Step 3: Cross multiply
    13,144.96x = 19,717.76 × 6,220.16
  4. Step 4: Simplify right side
    13,144.96x = 122,647,622.04
  5. Step 5: Solve for x
    x = 122,647,622.04/13,144.96
  6. Step 6: Final answer
    x = 9,330.39

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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.