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Finding the Fourth Proportional to 2,217.82, 3,326.73 and 901.61

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Solution

The fourth proportional to 2,217.82, 3,326.73 and 901.61 is: 1,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.82 : 3,326.73 = 901.61 : x
  2. Step 2: Convert to fraction form
    2,217.82/3,326.73 = 901.61/x
  3. Step 3: Cross multiply
    2,217.82x = 3,326.73 × 901.61
  4. Step 4: Simplify right side
    2,217.82x = 2,999,413.04
  5. Step 5: Solve for x
    x = 2,999,413.04/2,217.82
  6. Step 6: Final answer
    x = 1,352.42

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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.