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Finding the Fourth Proportional to 6,338, 9,507.18 and 1,721

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Solution

The fourth proportional to 6,338, 9,507.18 and 1,721 is: 2,581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338 : 9,507.18 = 1,721 : x
  2. Step 2: Convert to fraction form
    6,338/9,507.18 = 1,721/x
  3. Step 3: Cross multiply
    6,338x = 9,507.18 × 1,721
  4. Step 4: Simplify right side
    6,338x = 16,361,856.78
  5. Step 5: Solve for x
    x = 16,361,856.78/6,338
  6. Step 6: Final answer
    x = 2,581.55

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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.