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Finding the Fourth Proportional to 4,789.31, 7,181.42 and 4,235.36

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Solution

The fourth proportional to 4,789.31, 7,181.42 and 4,235.36 is: 6,350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.31 : 7,181.42 = 4,235.36 : x
  2. Step 2: Convert to fraction form
    4,789.31/7,181.42 = 4,235.36/x
  3. Step 3: Cross multiply
    4,789.31x = 7,181.42 × 4,235.36
  4. Step 4: Simplify right side
    4,789.31x = 30,415,841.93
  5. Step 5: Solve for x
    x = 30,415,841.93/4,789.31
  6. Step 6: Final answer
    x = 6,350.78

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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.