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Finding the Fourth Proportional to 3,459.77, 5,186.77 and 1,609.91

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Solution

The fourth proportional to 3,459.77, 5,186.77 and 1,609.91 is: 2,413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.77 : 5,186.77 = 1,609.91 : x
  2. Step 2: Convert to fraction form
    3,459.77/5,186.77 = 1,609.91/x
  3. Step 3: Cross multiply
    3,459.77x = 5,186.77 × 1,609.91
  4. Step 4: Simplify right side
    3,459.77x = 8,350,202.93
  5. Step 5: Solve for x
    x = 8,350,202.93/3,459.77
  6. Step 6: Final answer
    x = 2,413.52

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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.