Home / 2,166.32-3,249.75-705.08

Finding the Fourth Proportional to 2,166.32, 3,249.75 and 705.08

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Solution

The fourth proportional to 2,166.32, 3,249.75 and 705.08 is: 1,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.32 : 3,249.75 = 705.08 : x
  2. Step 2: Convert to fraction form
    2,166.32/3,249.75 = 705.08/x
  3. Step 3: Cross multiply
    2,166.32x = 3,249.75 × 705.08
  4. Step 4: Simplify right side
    2,166.32x = 2,291,333.73
  5. Step 5: Solve for x
    x = 2,291,333.73/2,166.32
  6. Step 6: Final answer
    x = 1,057.71

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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.