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Finding the Fourth Proportional to 2,682.78, 4,023.71 and 734.52

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Solution

The fourth proportional to 2,682.78, 4,023.71 and 734.52 is: 1,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.78 : 4,023.71 = 734.52 : x
  2. Step 2: Convert to fraction form
    2,682.78/4,023.71 = 734.52/x
  3. Step 3: Cross multiply
    2,682.78x = 4,023.71 × 734.52
  4. Step 4: Simplify right side
    2,682.78x = 2,955,495.47
  5. Step 5: Solve for x
    x = 2,955,495.47/2,682.78
  6. Step 6: Final answer
    x = 1,101.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.