Home / 1,611.28-2,413.68-961.66

Finding the Fourth Proportional to 1,611.28, 2,413.68 and 961.66

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Solution

The fourth proportional to 1,611.28, 2,413.68 and 961.66 is: 1,440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.28 : 2,413.68 = 961.66 : x
  2. Step 2: Convert to fraction form
    1,611.28/2,413.68 = 961.66/x
  3. Step 3: Cross multiply
    1,611.28x = 2,413.68 × 961.66
  4. Step 4: Simplify right side
    1,611.28x = 2,321,139.51
  5. Step 5: Solve for x
    x = 2,321,139.51/1,611.28
  6. Step 6: Final answer
    x = 1,440.56

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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.