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Finding the Fourth Proportional to 2,166.35, 3,249.18 and 705.49

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Solution

The fourth proportional to 2,166.35, 3,249.18 and 705.49 is: 1,058.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.35 : 3,249.18 = 705.49 : x
  2. Step 2: Convert to fraction form
    2,166.35/3,249.18 = 705.49/x
  3. Step 3: Cross multiply
    2,166.35x = 3,249.18 × 705.49
  4. Step 4: Simplify right side
    2,166.35x = 2,292,255.88
  5. Step 5: Solve for x
    x = 2,292,255.88/2,166.35
  6. Step 6: Final answer
    x = 1,058.12

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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.