Home / 2,108.13-3,160.26-809.34

Finding the Fourth Proportional to 2,108.13, 3,160.26 and 809.34

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Solution

The fourth proportional to 2,108.13, 3,160.26 and 809.34 is: 1,213.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.13 : 3,160.26 = 809.34 : x
  2. Step 2: Convert to fraction form
    2,108.13/3,160.26 = 809.34/x
  3. Step 3: Cross multiply
    2,108.13x = 3,160.26 × 809.34
  4. Step 4: Simplify right side
    2,108.13x = 2,557,724.83
  5. Step 5: Solve for x
    x = 2,557,724.83/2,108.13
  6. Step 6: Final answer
    x = 1,213.27

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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.