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Finding the Fourth Proportional to 2,481.78, 3,725.10 and 1,386.93

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Solution

The fourth proportional to 2,481.78, 3,725.10 and 1,386.93 is: 2,081.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.78 : 3,725.10 = 1,386.93 : x
  2. Step 2: Convert to fraction form
    2,481.78/3,725.10 = 1,386.93/x
  3. Step 3: Cross multiply
    2,481.78x = 3,725.10 × 1,386.93
  4. Step 4: Simplify right side
    2,481.78x = 5,166,452.94
  5. Step 5: Solve for x
    x = 5,166,452.94/2,481.78
  6. Step 6: Final answer
    x = 2,081.75

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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.