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Finding the Fourth Proportional to 3,909.92, 5,865.79 and 1,277.55

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Solution

The fourth proportional to 3,909.92, 5,865.79 and 1,277.55 is: 1,916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.92 : 5,865.79 = 1,277.55 : x
  2. Step 2: Convert to fraction form
    3,909.92/5,865.79 = 1,277.55/x
  3. Step 3: Cross multiply
    3,909.92x = 5,865.79 × 1,277.55
  4. Step 4: Simplify right side
    3,909.92x = 7,493,826.31
  5. Step 5: Solve for x
    x = 7,493,826.31/3,909.92
  6. Step 6: Final answer
    x = 1,916.62

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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.