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Finding the Fourth Proportional to 2,773.58, 3,826.44 and 1,778.69

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Solution

The fourth proportional to 2,773.58, 3,826.44 and 1,778.69 is: 2,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.58 : 3,826.44 = 1,778.69 : x
  2. Step 2: Convert to fraction form
    2,773.58/3,826.44 = 1,778.69/x
  3. Step 3: Cross multiply
    2,773.58x = 3,826.44 × 1,778.69
  4. Step 4: Simplify right side
    2,773.58x = 6,806,060.13
  5. Step 5: Solve for x
    x = 6,806,060.13/2,773.58
  6. Step 6: Final answer
    x = 2,453.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.