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Finding the Fourth Proportional to 6,338.43, 9,507.65 and 1,721.43

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Solution

The fourth proportional to 6,338.43, 9,507.65 and 1,721.43 is: 2,582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.43 : 9,507.65 = 1,721.43 : x
  2. Step 2: Convert to fraction form
    6,338.43/9,507.65 = 1,721.43/x
  3. Step 3: Cross multiply
    6,338.43x = 9,507.65 × 1,721.43
  4. Step 4: Simplify right side
    6,338.43x = 16,366,753.94
  5. Step 5: Solve for x
    x = 16,366,753.94/6,338.43
  6. Step 6: Final answer
    x = 2,582.15

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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.