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Finding the Fourth Proportional to 6,413.59, 9,621.09 and 2,664.96

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Solution

The fourth proportional to 6,413.59, 9,621.09 and 2,664.96 is: 3,997.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.59 : 9,621.09 = 2,664.96 : x
  2. Step 2: Convert to fraction form
    6,413.59/9,621.09 = 2,664.96/x
  3. Step 3: Cross multiply
    6,413.59x = 9,621.09 × 2,664.96
  4. Step 4: Simplify right side
    6,413.59x = 25,639,820.01
  5. Step 5: Solve for x
    x = 25,639,820.01/6,413.59
  6. Step 6: Final answer
    x = 3,997.73

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1.5x scale

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.