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Finding the Fourth Proportional to 3,871.72, 5,808 and 1,239.46

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Solution

The fourth proportional to 3,871.72, 5,808 and 1,239.46 is: 1,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.72 : 5,808 = 1,239.46 : x
  2. Step 2: Convert to fraction form
    3,871.72/5,808 = 1,239.46/x
  3. Step 3: Cross multiply
    3,871.72x = 5,808 × 1,239.46
  4. Step 4: Simplify right side
    3,871.72x = 7,198,783.68
  5. Step 5: Solve for x
    x = 7,198,783.68/3,871.72
  6. Step 6: Final answer
    x = 1,859.32

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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.