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Finding the Fourth Proportional to 2,166.94, 3,249.66 and 705.72

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Solution

The fourth proportional to 2,166.94, 3,249.66 and 705.72 is: 1,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.94 : 3,249.66 = 705.72 : x
  2. Step 2: Convert to fraction form
    2,166.94/3,249.66 = 705.72/x
  3. Step 3: Cross multiply
    2,166.94x = 3,249.66 × 705.72
  4. Step 4: Simplify right side
    2,166.94x = 2,293,350.06
  5. Step 5: Solve for x
    x = 2,293,350.06/2,166.94
  6. Step 6: Final answer
    x = 1,058.34

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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.