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Finding the Fourth Proportional to 2,092.49, 3,138.73 and 859.03

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Solution

The fourth proportional to 2,092.49, 3,138.73 and 859.03 is: 1,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.49 : 3,138.73 = 859.03 : x
  2. Step 2: Convert to fraction form
    2,092.49/3,138.73 = 859.03/x
  3. Step 3: Cross multiply
    2,092.49x = 3,138.73 × 859.03
  4. Step 4: Simplify right side
    2,092.49x = 2,696,265.09
  5. Step 5: Solve for x
    x = 2,696,265.09/2,092.49
  6. Step 6: Final answer
    x = 1,288.54

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1.5x scale

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.