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Finding the Fourth Proportional to 2,789.76, 4,178.97 and 2,238.96

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Solution

The fourth proportional to 2,789.76, 4,178.97 and 2,238.96 is: 3,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.76 : 4,178.97 = 2,238.96 : x
  2. Step 2: Convert to fraction form
    2,789.76/4,178.97 = 2,238.96/x
  3. Step 3: Cross multiply
    2,789.76x = 4,178.97 × 2,238.96
  4. Step 4: Simplify right side
    2,789.76x = 9,356,546.67
  5. Step 5: Solve for x
    x = 9,356,546.67/2,789.76
  6. Step 6: Final answer
    x = 3,353.89

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1.5x scale

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.