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Finding the Fourth Proportional to 10,413.14, 15,619.70 and 3,393.14

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Solution

The fourth proportional to 10,413.14, 15,619.70 and 3,393.14 is: 5,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.14 : 15,619.70 = 3,393.14 : x
  2. Step 2: Convert to fraction form
    10,413.14/15,619.70 = 3,393.14/x
  3. Step 3: Cross multiply
    10,413.14x = 15,619.70 × 3,393.14
  4. Step 4: Simplify right side
    10,413.14x = 52,999,850.94
  5. Step 5: Solve for x
    x = 52,999,850.94/10,413.14
  6. Step 6: Final answer
    x = 5,089.71

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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.