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Finding the Fourth Proportional to 2,590.34, 3,884 and 834.88

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Solution

The fourth proportional to 2,590.34, 3,884 and 834.88 is: 1,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.34 : 3,884 = 834.88 : x
  2. Step 2: Convert to fraction form
    2,590.34/3,884 = 834.88/x
  3. Step 3: Cross multiply
    2,590.34x = 3,884 × 834.88
  4. Step 4: Simplify right side
    2,590.34x = 3,242,673.92
  5. Step 5: Solve for x
    x = 3,242,673.92/2,590.34
  6. Step 6: Final answer
    x = 1,251.83

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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.