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Finding the Fourth Proportional to 2,734.78, 4,101.71 and 885.63

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Solution

The fourth proportional to 2,734.78, 4,101.71 and 885.63 is: 1,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.78 : 4,101.71 = 885.63 : x
  2. Step 2: Convert to fraction form
    2,734.78/4,101.71 = 885.63/x
  3. Step 3: Cross multiply
    2,734.78x = 4,101.71 × 885.63
  4. Step 4: Simplify right side
    2,734.78x = 3,632,597.43
  5. Step 5: Solve for x
    x = 3,632,597.43/2,734.78
  6. Step 6: Final answer
    x = 1,328.30

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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.