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Finding the Fourth Proportional to 5,181.56, 7,764.78 and 2,580.92

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Solution

The fourth proportional to 5,181.56, 7,764.78 and 2,580.92 is: 3,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.56 : 7,764.78 = 2,580.92 : x
  2. Step 2: Convert to fraction form
    5,181.56/7,764.78 = 2,580.92/x
  3. Step 3: Cross multiply
    5,181.56x = 7,764.78 × 2,580.92
  4. Step 4: Simplify right side
    5,181.56x = 20,040,276.00
  5. Step 5: Solve for x
    x = 20,040,276.00/5,181.56
  6. Step 6: Final answer
    x = 3,867.61

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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.