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Finding the Fourth Proportional to 2,758.56, 4,138.11 and 909.60

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Solution

The fourth proportional to 2,758.56, 4,138.11 and 909.60 is: 1,364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.56 : 4,138.11 = 909.60 : x
  2. Step 2: Convert to fraction form
    2,758.56/4,138.11 = 909.60/x
  3. Step 3: Cross multiply
    2,758.56x = 4,138.11 × 909.60
  4. Step 4: Simplify right side
    2,758.56x = 3,764,024.86
  5. Step 5: Solve for x
    x = 3,764,024.86/2,758.56
  6. Step 6: Final answer
    x = 1,364.49

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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.