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Finding the Fourth Proportional to 3,413.47, 5,120.20 and 1,073.68

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Solution

The fourth proportional to 3,413.47, 5,120.20 and 1,073.68 is: 1,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.47 : 5,120.20 = 1,073.68 : x
  2. Step 2: Convert to fraction form
    3,413.47/5,120.20 = 1,073.68/x
  3. Step 3: Cross multiply
    3,413.47x = 5,120.20 × 1,073.68
  4. Step 4: Simplify right side
    3,413.47x = 5,497,425.37
  5. Step 5: Solve for x
    x = 5,497,425.37/3,413.47
  6. Step 6: Final answer
    x = 1,610.51

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Double scale
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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.