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Finding the Fourth Proportional to 3,356.76, 5,034.66 and 891.78

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Solution

The fourth proportional to 3,356.76, 5,034.66 and 891.78 is: 1,337.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.76 : 5,034.66 = 891.78 : x
  2. Step 2: Convert to fraction form
    3,356.76/5,034.66 = 891.78/x
  3. Step 3: Cross multiply
    3,356.76x = 5,034.66 × 891.78
  4. Step 4: Simplify right side
    3,356.76x = 4,489,809.09
  5. Step 5: Solve for x
    x = 4,489,809.09/3,356.76
  6. Step 6: Final answer
    x = 1,337.54

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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.