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Finding the Fourth Proportional to 3,855.87, 5,311.58 and 3,658.23

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Solution

The fourth proportional to 3,855.87, 5,311.58 and 3,658.23 is: 5,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.87 : 5,311.58 = 3,658.23 : x
  2. Step 2: Convert to fraction form
    3,855.87/5,311.58 = 3,658.23/x
  3. Step 3: Cross multiply
    3,855.87x = 5,311.58 × 3,658.23
  4. Step 4: Simplify right side
    3,855.87x = 19,430,963.01
  5. Step 5: Solve for x
    x = 19,430,963.01/3,855.87
  6. Step 6: Final answer
    x = 5,039.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.