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Finding the Fourth Proportional to 7,249.25, 9,929 and 6,823.70

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Solution

The fourth proportional to 7,249.25, 9,929 and 6,823.70 is: 9,346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.25 : 9,929 = 6,823.70 : x
  2. Step 2: Convert to fraction form
    7,249.25/9,929 = 6,823.70/x
  3. Step 3: Cross multiply
    7,249.25x = 9,929 × 6,823.70
  4. Step 4: Simplify right side
    7,249.25x = 67,752,517.30
  5. Step 5: Solve for x
    x = 67,752,517.30/7,249.25
  6. Step 6: Final answer
    x = 9,346.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.