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Finding the Fourth Proportional to 3,876.87, 5,810.64 and 1,794.04

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Solution

The fourth proportional to 3,876.87, 5,810.64 and 1,794.04 is: 2,688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.87 : 5,810.64 = 1,794.04 : x
  2. Step 2: Convert to fraction form
    3,876.87/5,810.64 = 1,794.04/x
  3. Step 3: Cross multiply
    3,876.87x = 5,810.64 × 1,794.04
  4. Step 4: Simplify right side
    3,876.87x = 10,424,520.59
  5. Step 5: Solve for x
    x = 10,424,520.59/3,876.87
  6. Step 6: Final answer
    x = 2,688.90

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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.