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Finding the Fourth Proportional to 6,398.87, 9,577.83 and 3,429.92

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Solution

The fourth proportional to 6,398.87, 9,577.83 and 3,429.92 is: 5,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.87 : 9,577.83 = 3,429.92 : x
  2. Step 2: Convert to fraction form
    6,398.87/9,577.83 = 3,429.92/x
  3. Step 3: Cross multiply
    6,398.87x = 9,577.83 × 3,429.92
  4. Step 4: Simplify right side
    6,398.87x = 32,851,142.78
  5. Step 5: Solve for x
    x = 32,851,142.78/6,398.87
  6. Step 6: Final answer
    x = 5,133.90

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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.