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Finding the Fourth Proportional to 6,821.62, 9,413.52 and 4,169.27

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Solution

The fourth proportional to 6,821.62, 9,413.52 and 4,169.27 is: 5,753.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.62 : 9,413.52 = 4,169.27 : x
  2. Step 2: Convert to fraction form
    6,821.62/9,413.52 = 4,169.27/x
  3. Step 3: Cross multiply
    6,821.62x = 9,413.52 × 4,169.27
  4. Step 4: Simplify right side
    6,821.62x = 39,247,514.43
  5. Step 5: Solve for x
    x = 39,247,514.43/6,821.62
  6. Step 6: Final answer
    x = 5,753.40

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1.5x scale

Why These Related Problems?

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