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Finding the Fourth Proportional to 3,913.74, 5,869.50 and 1,722

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Solution

The fourth proportional to 3,913.74, 5,869.50 and 1,722 is: 2,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.74 : 5,869.50 = 1,722 : x
  2. Step 2: Convert to fraction form
    3,913.74/5,869.50 = 1,722/x
  3. Step 3: Cross multiply
    3,913.74x = 5,869.50 × 1,722
  4. Step 4: Simplify right side
    3,913.74x = 10,107,279
  5. Step 5: Solve for x
    x = 10,107,279/3,913.74
  6. Step 6: Final answer
    x = 2,582.51

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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.