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Finding the Fourth Proportional to 2,809.81, 3,878.04 and 1,631.26

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Solution

The fourth proportional to 2,809.81, 3,878.04 and 1,631.26 is: 2,251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.81 : 3,878.04 = 1,631.26 : x
  2. Step 2: Convert to fraction form
    2,809.81/3,878.04 = 1,631.26/x
  3. Step 3: Cross multiply
    2,809.81x = 3,878.04 × 1,631.26
  4. Step 4: Simplify right side
    2,809.81x = 6,326,091.53
  5. Step 5: Solve for x
    x = 6,326,091.53/2,809.81
  6. Step 6: Final answer
    x = 2,251.43

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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.