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Finding the Fourth Proportional to 13,468.55, 20,206.46 and 5,144.18

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Solution

The fourth proportional to 13,468.55, 20,206.46 and 5,144.18 is: 7,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.55 : 20,206.46 = 5,144.18 : x
  2. Step 2: Convert to fraction form
    13,468.55/20,206.46 = 5,144.18/x
  3. Step 3: Cross multiply
    13,468.55x = 20,206.46 × 5,144.18
  4. Step 4: Simplify right side
    13,468.55x = 103,945,579.23
  5. Step 5: Solve for x
    x = 103,945,579.23/13,468.55
  6. Step 6: Final answer
    x = 7,717.65

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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.