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Finding the Fourth Proportional to 3,913.87, 5,867.16 and 1,963.81

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Solution

The fourth proportional to 3,913.87, 5,867.16 and 1,963.81 is: 2,943.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.87 : 5,867.16 = 1,963.81 : x
  2. Step 2: Convert to fraction form
    3,913.87/5,867.16 = 1,963.81/x
  3. Step 3: Cross multiply
    3,913.87x = 5,867.16 × 1,963.81
  4. Step 4: Simplify right side
    3,913.87x = 11,521,987.48
  5. Step 5: Solve for x
    x = 11,521,987.48/3,913.87
  6. Step 6: Final answer
    x = 2,943.89

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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.