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Finding the Fourth Proportional to 2,165.82, 3,249.66 and 705.42

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Solution

The fourth proportional to 2,165.82, 3,249.66 and 705.42 is: 1,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.82 : 3,249.66 = 705.42 : x
  2. Step 2: Convert to fraction form
    2,165.82/3,249.66 = 705.42/x
  3. Step 3: Cross multiply
    2,165.82x = 3,249.66 × 705.42
  4. Step 4: Simplify right side
    2,165.82x = 2,292,375.16
  5. Step 5: Solve for x
    x = 2,292,375.16/2,165.82
  6. Step 6: Final answer
    x = 1,058.43

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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.