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Finding the Fourth Proportional to 5,187.56, 7,773.78 and 2,586.92

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Solution

The fourth proportional to 5,187.56, 7,773.78 and 2,586.92 is: 3,876.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.56 : 7,773.78 = 2,586.92 : x
  2. Step 2: Convert to fraction form
    5,187.56/7,773.78 = 2,586.92/x
  3. Step 3: Cross multiply
    5,187.56x = 7,773.78 × 2,586.92
  4. Step 4: Simplify right side
    5,187.56x = 20,110,146.96
  5. Step 5: Solve for x
    x = 20,110,146.96/5,187.56
  6. Step 6: Final answer
    x = 3,876.61

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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.