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Finding the Fourth Proportional to 3,356.70, 5,034.51 and 891.57

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Solution

The fourth proportional to 3,356.70, 5,034.51 and 891.57 is: 1,337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.70 : 5,034.51 = 891.57 : x
  2. Step 2: Convert to fraction form
    3,356.70/5,034.51 = 891.57/x
  3. Step 3: Cross multiply
    3,356.70x = 5,034.51 × 891.57
  4. Step 4: Simplify right side
    3,356.70x = 4,488,618.08
  5. Step 5: Solve for x
    x = 4,488,618.08/3,356.70
  6. Step 6: Final answer
    x = 1,337.21

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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.