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Finding the Fourth Proportional to 2,863.81, 3,952.06 and 1,621.81

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Solution

The fourth proportional to 2,863.81, 3,952.06 and 1,621.81 is: 2,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.81 : 3,952.06 = 1,621.81 : x
  2. Step 2: Convert to fraction form
    2,863.81/3,952.06 = 1,621.81/x
  3. Step 3: Cross multiply
    2,863.81x = 3,952.06 × 1,621.81
  4. Step 4: Simplify right side
    2,863.81x = 6,409,490.43
  5. Step 5: Solve for x
    x = 6,409,490.43/2,863.81
  6. Step 6: Final answer
    x = 2,238.10

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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.