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Finding the Fourth Proportional to 6,413.66, 9,619.86 and 3,129.02

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Solution

The fourth proportional to 6,413.66, 9,619.86 and 3,129.02 is: 4,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.66 : 9,619.86 = 3,129.02 : x
  2. Step 2: Convert to fraction form
    6,413.66/9,619.86 = 3,129.02/x
  3. Step 3: Cross multiply
    6,413.66x = 9,619.86 × 3,129.02
  4. Step 4: Simplify right side
    6,413.66x = 30,100,694.64
  5. Step 5: Solve for x
    x = 30,100,694.64/6,413.66
  6. Step 6: Final answer
    x = 4,693.22

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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.