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Finding the Fourth Proportional to 1,920.86, 2,882.19 and 995.91

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Solution

The fourth proportional to 1,920.86, 2,882.19 and 995.91 is: 1,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.86 : 2,882.19 = 995.91 : x
  2. Step 2: Convert to fraction form
    1,920.86/2,882.19 = 995.91/x
  3. Step 3: Cross multiply
    1,920.86x = 2,882.19 × 995.91
  4. Step 4: Simplify right side
    1,920.86x = 2,870,412.65
  5. Step 5: Solve for x
    x = 2,870,412.65/1,920.86
  6. Step 6: Final answer
    x = 1,494.34

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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.