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Finding the Fourth Proportional to 6,909.48, 9,535.11 and 3,926.31

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Solution

The fourth proportional to 6,909.48, 9,535.11 and 3,926.31 is: 5,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.48 : 9,535.11 = 3,926.31 : x
  2. Step 2: Convert to fraction form
    6,909.48/9,535.11 = 3,926.31/x
  3. Step 3: Cross multiply
    6,909.48x = 9,535.11 × 3,926.31
  4. Step 4: Simplify right side
    6,909.48x = 37,437,747.26
  5. Step 5: Solve for x
    x = 37,437,747.26/6,909.48
  6. Step 6: Final answer
    x = 5,418.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.