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Finding the Fourth Proportional to 2,861.73, 4,293.62 and 1,764.82

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Solution

The fourth proportional to 2,861.73, 4,293.62 and 1,764.82 is: 2,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.73 : 4,293.62 = 1,764.82 : x
  2. Step 2: Convert to fraction form
    2,861.73/4,293.62 = 1,764.82/x
  3. Step 3: Cross multiply
    2,861.73x = 4,293.62 × 1,764.82
  4. Step 4: Simplify right side
    2,861.73x = 7,577,460.13
  5. Step 5: Solve for x
    x = 7,577,460.13/2,861.73
  6. Step 6: Final answer
    x = 2,647.86

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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.