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Finding the Fourth Proportional to 13,466.69, 20,201.45 and 5,146.65

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Solution

The fourth proportional to 13,466.69, 20,201.45 and 5,146.65 is: 7,720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.69 : 20,201.45 = 5,146.65 : x
  2. Step 2: Convert to fraction form
    13,466.69/20,201.45 = 5,146.65/x
  3. Step 3: Cross multiply
    13,466.69x = 20,201.45 × 5,146.65
  4. Step 4: Simplify right side
    13,466.69x = 103,969,766.91
  5. Step 5: Solve for x
    x = 103,969,766.91/13,466.69
  6. Step 6: Final answer
    x = 7,720.51

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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.