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Finding the Fourth Proportional to 2,739.87, 4,110.36 and 891

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Solution

The fourth proportional to 2,739.87, 4,110.36 and 891 is: 1,336.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.87 : 4,110.36 = 891 : x
  2. Step 2: Convert to fraction form
    2,739.87/4,110.36 = 891/x
  3. Step 3: Cross multiply
    2,739.87x = 4,110.36 × 891
  4. Step 4: Simplify right side
    2,739.87x = 3,662,330.76
  5. Step 5: Solve for x
    x = 3,662,330.76/2,739.87
  6. Step 6: Final answer
    x = 1,336.68

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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.