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Finding the Fourth Proportional to 2,121.66, 3,181.71 and 734.61

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Solution

The fourth proportional to 2,121.66, 3,181.71 and 734.61 is: 1,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.66 : 3,181.71 = 734.61 : x
  2. Step 2: Convert to fraction form
    2,121.66/3,181.71 = 734.61/x
  3. Step 3: Cross multiply
    2,121.66x = 3,181.71 × 734.61
  4. Step 4: Simplify right side
    2,121.66x = 2,337,315.98
  5. Step 5: Solve for x
    x = 2,337,315.98/2,121.66
  6. Step 6: Final answer
    x = 1,101.64

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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.