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Finding the Fourth Proportional to 5,240.87, 7,854.36 and 3,847.69

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Solution

The fourth proportional to 5,240.87, 7,854.36 and 3,847.69 is: 5,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.87 : 7,854.36 = 3,847.69 : x
  2. Step 2: Convert to fraction form
    5,240.87/7,854.36 = 3,847.69/x
  3. Step 3: Cross multiply
    5,240.87x = 7,854.36 × 3,847.69
  4. Step 4: Simplify right side
    5,240.87x = 30,221,083.92
  5. Step 5: Solve for x
    x = 30,221,083.92/5,240.87
  6. Step 6: Final answer
    x = 5,766.43

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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.