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Finding the Fourth Proportional to 2,121.71, 3,181.53 and 734.55

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Solution

The fourth proportional to 2,121.71, 3,181.53 and 734.55 is: 1,101.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.71 : 3,181.53 = 734.55 : x
  2. Step 2: Convert to fraction form
    2,121.71/3,181.53 = 734.55/x
  3. Step 3: Cross multiply
    2,121.71x = 3,181.53 × 734.55
  4. Step 4: Simplify right side
    2,121.71x = 2,336,992.86
  5. Step 5: Solve for x
    x = 2,336,992.86/2,121.71
  6. Step 6: Final answer
    x = 1,101.47

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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.