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Finding the Fourth Proportional to 2,092.55, 3,138.73 and 859.92

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Solution

The fourth proportional to 2,092.55, 3,138.73 and 859.92 is: 1,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.55 : 3,138.73 = 859.92 : x
  2. Step 2: Convert to fraction form
    2,092.55/3,138.73 = 859.92/x
  3. Step 3: Cross multiply
    2,092.55x = 3,138.73 × 859.92
  4. Step 4: Simplify right side
    2,092.55x = 2,699,056.70
  5. Step 5: Solve for x
    x = 2,699,056.70/2,092.55
  6. Step 6: Final answer
    x = 1,289.84

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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.