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Finding the Fourth Proportional to 3,871.82, 5,807.76 and 1,274.75

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Solution

The fourth proportional to 3,871.82, 5,807.76 and 1,274.75 is: 1,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.82 : 5,807.76 = 1,274.75 : x
  2. Step 2: Convert to fraction form
    3,871.82/5,807.76 = 1,274.75/x
  3. Step 3: Cross multiply
    3,871.82x = 5,807.76 × 1,274.75
  4. Step 4: Simplify right side
    3,871.82x = 7,403,442.06
  5. Step 5: Solve for x
    x = 7,403,442.06/3,871.82
  6. Step 6: Final answer
    x = 1,912.13

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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.