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Finding the Fourth Proportional to 6,413.70, 9,620.55 and 3,497.70

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Solution

The fourth proportional to 6,413.70, 9,620.55 and 3,497.70 is: 5,246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.70 : 9,620.55 = 3,497.70 : x
  2. Step 2: Convert to fraction form
    6,413.70/9,620.55 = 3,497.70/x
  3. Step 3: Cross multiply
    6,413.70x = 9,620.55 × 3,497.70
  4. Step 4: Simplify right side
    6,413.70x = 33,649,797.74
  5. Step 5: Solve for x
    x = 33,649,797.74/6,413.70
  6. Step 6: Final answer
    x = 5,246.55

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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.