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Finding the Fourth Proportional to 7,772.68, 10,723.62 and 5,413.96

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Solution

The fourth proportional to 7,772.68, 10,723.62 and 5,413.96 is: 7,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.68 : 10,723.62 = 5,413.96 : x
  2. Step 2: Convert to fraction form
    7,772.68/10,723.62 = 5,413.96/x
  3. Step 3: Cross multiply
    7,772.68x = 10,723.62 × 5,413.96
  4. Step 4: Simplify right side
    7,772.68x = 58,057,249.74
  5. Step 5: Solve for x
    x = 58,057,249.74/7,772.68
  6. Step 6: Final answer
    x = 7,469.40

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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.