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Finding the Fourth Proportional to 2,581.11, 3,873.54 and 937.79

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Solution

The fourth proportional to 2,581.11, 3,873.54 and 937.79 is: 1,407.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.11 : 3,873.54 = 937.79 : x
  2. Step 2: Convert to fraction form
    2,581.11/3,873.54 = 937.79/x
  3. Step 3: Cross multiply
    2,581.11x = 3,873.54 × 937.79
  4. Step 4: Simplify right side
    2,581.11x = 3,632,567.08
  5. Step 5: Solve for x
    x = 3,632,567.08/2,581.11
  6. Step 6: Final answer
    x = 1,407.37

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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.