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Finding the Fourth Proportional to 5,383, 8,074.42 and 2,609.92

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Solution

The fourth proportional to 5,383, 8,074.42 and 2,609.92 is: 3,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383 : 8,074.42 = 2,609.92 : x
  2. Step 2: Convert to fraction form
    5,383/8,074.42 = 2,609.92/x
  3. Step 3: Cross multiply
    5,383x = 8,074.42 × 2,609.92
  4. Step 4: Simplify right side
    5,383x = 21,073,590.25
  5. Step 5: Solve for x
    x = 21,073,590.25/5,383
  6. Step 6: Final answer
    x = 3,914.84

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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.