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Finding the Fourth Proportional to 3,913.38, 5,871 and 1,722.28

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Solution

The fourth proportional to 3,913.38, 5,871 and 1,722.28 is: 2,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.38 : 5,871 = 1,722.28 : x
  2. Step 2: Convert to fraction form
    3,913.38/5,871 = 1,722.28/x
  3. Step 3: Cross multiply
    3,913.38x = 5,871 × 1,722.28
  4. Step 4: Simplify right side
    3,913.38x = 10,111,505.88
  5. Step 5: Solve for x
    x = 10,111,505.88/3,913.38
  6. Step 6: Final answer
    x = 2,583.83

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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.