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Finding the Fourth Proportional to 6,413.77, 9,620.93 and 3,129.63

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Solution

The fourth proportional to 6,413.77, 9,620.93 and 3,129.63 is: 4,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.77 : 9,620.93 = 3,129.63 : x
  2. Step 2: Convert to fraction form
    6,413.77/9,620.93 = 3,129.63/x
  3. Step 3: Cross multiply
    6,413.77x = 9,620.93 × 3,129.63
  4. Step 4: Simplify right side
    6,413.77x = 30,109,951.16
  5. Step 5: Solve for x
    x = 30,109,951.16/6,413.77
  6. Step 6: Final answer
    x = 4,694.58

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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.