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Finding the Fourth Proportional to 5,912.25, 8,856.55 and 5,123.17

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Solution

The fourth proportional to 5,912.25, 8,856.55 and 5,123.17 is: 7,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.25 : 8,856.55 = 5,123.17 : x
  2. Step 2: Convert to fraction form
    5,912.25/8,856.55 = 5,123.17/x
  3. Step 3: Cross multiply
    5,912.25x = 8,856.55 × 5,123.17
  4. Step 4: Simplify right side
    5,912.25x = 45,373,611.26
  5. Step 5: Solve for x
    x = 45,373,611.26/5,912.25
  6. Step 6: Final answer
    x = 7,674.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.