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Finding the Fourth Proportional to 6,399.72, 9,604.06 and 2,939.24

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Solution

The fourth proportional to 6,399.72, 9,604.06 and 2,939.24 is: 4,410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.72 : 9,604.06 = 2,939.24 : x
  2. Step 2: Convert to fraction form
    6,399.72/9,604.06 = 2,939.24/x
  3. Step 3: Cross multiply
    6,399.72x = 9,604.06 × 2,939.24
  4. Step 4: Simplify right side
    6,399.72x = 28,228,637.31
  5. Step 5: Solve for x
    x = 28,228,637.31/6,399.72
  6. Step 6: Final answer
    x = 4,410.92

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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.