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Finding the Fourth Proportional to 2,400.09, 3,601.73 and 861.09

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Solution

The fourth proportional to 2,400.09, 3,601.73 and 861.09 is: 1,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.09 : 3,601.73 = 861.09 : x
  2. Step 2: Convert to fraction form
    2,400.09/3,601.73 = 861.09/x
  3. Step 3: Cross multiply
    2,400.09x = 3,601.73 × 861.09
  4. Step 4: Simplify right side
    2,400.09x = 3,101,413.69
  5. Step 5: Solve for x
    x = 3,101,413.69/2,400.09
  6. Step 6: Final answer
    x = 1,292.21

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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.