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Finding the Fourth Proportional to 4,194, 5,785.20 and 2,779.20

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Solution

The fourth proportional to 4,194, 5,785.20 and 2,779.20 is: 3,833.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194 : 5,785.20 = 2,779.20 : x
  2. Step 2: Convert to fraction form
    4,194/5,785.20 = 2,779.20/x
  3. Step 3: Cross multiply
    4,194x = 5,785.20 × 2,779.20
  4. Step 4: Simplify right side
    4,194x = 16,078,227.84
  5. Step 5: Solve for x
    x = 16,078,227.84/4,194
  6. Step 6: Final answer
    x = 3,833.63

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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.