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Finding the Fourth Proportional to 2,121.65, 3,182.93 and 640.93

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Solution

The fourth proportional to 2,121.65, 3,182.93 and 640.93 is: 961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.65 : 3,182.93 = 640.93 : x
  2. Step 2: Convert to fraction form
    2,121.65/3,182.93 = 640.93/x
  3. Step 3: Cross multiply
    2,121.65x = 3,182.93 × 640.93
  4. Step 4: Simplify right side
    2,121.65x = 2,040,016.21
  5. Step 5: Solve for x
    x = 2,040,016.21/2,121.65
  6. Step 6: Final answer
    x = 961.52

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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.