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Finding the Fourth Proportional to 2,758.54, 4,138.07 and 909.66

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Solution

The fourth proportional to 2,758.54, 4,138.07 and 909.66 is: 1,364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.54 : 4,138.07 = 909.66 : x
  2. Step 2: Convert to fraction form
    2,758.54/4,138.07 = 909.66/x
  3. Step 3: Cross multiply
    2,758.54x = 4,138.07 × 909.66
  4. Step 4: Simplify right side
    2,758.54x = 3,764,236.76
  5. Step 5: Solve for x
    x = 3,764,236.76/2,758.54
  6. Step 6: Final answer
    x = 1,364.58

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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.