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Finding the Fourth Proportional to 13,687.87, 20,531.83 and 3,827.14

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Solution

The fourth proportional to 13,687.87, 20,531.83 and 3,827.14 is: 5,740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.87 : 20,531.83 = 3,827.14 : x
  2. Step 2: Convert to fraction form
    13,687.87/20,531.83 = 3,827.14/x
  3. Step 3: Cross multiply
    13,687.87x = 20,531.83 × 3,827.14
  4. Step 4: Simplify right side
    13,687.87x = 78,578,168.73
  5. Step 5: Solve for x
    x = 78,578,168.73/13,687.87
  6. Step 6: Final answer
    x = 5,740.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.