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Finding the Fourth Proportional to 2,092.11, 3,138.12 and 859.50

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Solution

The fourth proportional to 2,092.11, 3,138.12 and 859.50 is: 1,289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.11 : 3,138.12 = 859.50 : x
  2. Step 2: Convert to fraction form
    2,092.11/3,138.12 = 859.50/x
  3. Step 3: Cross multiply
    2,092.11x = 3,138.12 × 859.50
  4. Step 4: Simplify right side
    2,092.11x = 2,697,214.14
  5. Step 5: Solve for x
    x = 2,697,214.14/2,092.11
  6. Step 6: Final answer
    x = 1,289.23

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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.