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Finding the Fourth Proportional to 13,474.66, 20,174.73 and 6,886.66

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Solution

The fourth proportional to 13,474.66, 20,174.73 and 6,886.66 is: 10,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.66 : 20,174.73 = 6,886.66 : x
  2. Step 2: Convert to fraction form
    13,474.66/20,174.73 = 6,886.66/x
  3. Step 3: Cross multiply
    13,474.66x = 20,174.73 × 6,886.66
  4. Step 4: Simplify right side
    13,474.66x = 138,936,506.10
  5. Step 5: Solve for x
    x = 138,936,506.10/13,474.66
  6. Step 6: Final answer
    x = 10,310.95

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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.