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Finding the Fourth Proportional to 3,908.97, 5,860.20 and 1,827.87

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Solution

The fourth proportional to 3,908.97, 5,860.20 and 1,827.87 is: 2,740.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.97 : 5,860.20 = 1,827.87 : x
  2. Step 2: Convert to fraction form
    3,908.97/5,860.20 = 1,827.87/x
  3. Step 3: Cross multiply
    3,908.97x = 5,860.20 × 1,827.87
  4. Step 4: Simplify right side
    3,908.97x = 10,711,683.77
  5. Step 5: Solve for x
    x = 10,711,683.77/3,908.97
  6. Step 6: Final answer
    x = 2,740.28

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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.