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Finding the Fourth Proportional to 3,895.81, 5,843.81 and 1,122.55

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Solution

The fourth proportional to 3,895.81, 5,843.81 and 1,122.55 is: 1,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.81 : 5,843.81 = 1,122.55 : x
  2. Step 2: Convert to fraction form
    3,895.81/5,843.81 = 1,122.55/x
  3. Step 3: Cross multiply
    3,895.81x = 5,843.81 × 1,122.55
  4. Step 4: Simplify right side
    3,895.81x = 6,559,963.30
  5. Step 5: Solve for x
    x = 6,559,963.30/3,895.81
  6. Step 6: Final answer
    x = 1,683.85

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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.