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Finding the Fourth Proportional to 3,806.80, 5,711.55 and 1,857.67

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Solution

The fourth proportional to 3,806.80, 5,711.55 and 1,857.67 is: 2,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.80 : 5,711.55 = 1,857.67 : x
  2. Step 2: Convert to fraction form
    3,806.80/5,711.55 = 1,857.67/x
  3. Step 3: Cross multiply
    3,806.80x = 5,711.55 × 1,857.67
  4. Step 4: Simplify right side
    3,806.80x = 10,610,175.09
  5. Step 5: Solve for x
    x = 10,610,175.09/3,806.80
  6. Step 6: Final answer
    x = 2,787.16

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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.