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Finding the Fourth Proportional to 2,759.13, 4,137.81 and 909.81

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Solution

The fourth proportional to 2,759.13, 4,137.81 and 909.81 is: 1,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.13 : 4,137.81 = 909.81 : x
  2. Step 2: Convert to fraction form
    2,759.13/4,137.81 = 909.81/x
  3. Step 3: Cross multiply
    2,759.13x = 4,137.81 × 909.81
  4. Step 4: Simplify right side
    2,759.13x = 3,764,620.92
  5. Step 5: Solve for x
    x = 3,764,620.92/2,759.13
  6. Step 6: Final answer
    x = 1,364.42

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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.