Home / 2,105.12-3,157.80-806.48

Finding the Fourth Proportional to 2,105.12, 3,157.80 and 806.48

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Solution

The fourth proportional to 2,105.12, 3,157.80 and 806.48 is: 1,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.12 : 3,157.80 = 806.48 : x
  2. Step 2: Convert to fraction form
    2,105.12/3,157.80 = 806.48/x
  3. Step 3: Cross multiply
    2,105.12x = 3,157.80 × 806.48
  4. Step 4: Simplify right side
    2,105.12x = 2,546,702.54
  5. Step 5: Solve for x
    x = 2,546,702.54/2,105.12
  6. Step 6: Final answer
    x = 1,209.77

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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.