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Finding the Fourth Proportional to 6,339.20, 9,507.78 and 3,992

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Solution

The fourth proportional to 6,339.20, 9,507.78 and 3,992 is: 5,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.20 : 9,507.78 = 3,992 : x
  2. Step 2: Convert to fraction form
    6,339.20/9,507.78 = 3,992/x
  3. Step 3: Cross multiply
    6,339.20x = 9,507.78 × 3,992
  4. Step 4: Simplify right side
    6,339.20x = 37,955,057.76
  5. Step 5: Solve for x
    x = 37,955,057.76/6,339.20
  6. Step 6: Final answer
    x = 5,987.36

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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.