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Finding the Fourth Proportional to 2,581.16, 3,871.42 and 937.64

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Solution

The fourth proportional to 2,581.16, 3,871.42 and 937.64 is: 1,406.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.16 : 3,871.42 = 937.64 : x
  2. Step 2: Convert to fraction form
    2,581.16/3,871.42 = 937.64/x
  3. Step 3: Cross multiply
    2,581.16x = 3,871.42 × 937.64
  4. Step 4: Simplify right side
    2,581.16x = 3,629,998.25
  5. Step 5: Solve for x
    x = 3,629,998.25/2,581.16
  6. Step 6: Final answer
    x = 1,406.34

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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.