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Finding the Fourth Proportional to 2,094.32, 3,138.87 and 861.05

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Solution

The fourth proportional to 2,094.32, 3,138.87 and 861.05 is: 1,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.32 : 3,138.87 = 861.05 : x
  2. Step 2: Convert to fraction form
    2,094.32/3,138.87 = 861.05/x
  3. Step 3: Cross multiply
    2,094.32x = 3,138.87 × 861.05
  4. Step 4: Simplify right side
    2,094.32x = 2,702,724.01
  5. Step 5: Solve for x
    x = 2,702,724.01/2,094.32
  6. Step 6: Final answer
    x = 1,290.50

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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.