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Finding the Fourth Proportional to 7,676.57, 11,499.57 and 5,915.43

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Solution

The fourth proportional to 7,676.57, 11,499.57 and 5,915.43 is: 8,861.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.57 : 11,499.57 = 5,915.43 : x
  2. Step 2: Convert to fraction form
    7,676.57/11,499.57 = 5,915.43/x
  3. Step 3: Cross multiply
    7,676.57x = 11,499.57 × 5,915.43
  4. Step 4: Simplify right side
    7,676.57x = 68,024,901.37
  5. Step 5: Solve for x
    x = 68,024,901.37/7,676.57
  6. Step 6: Final answer
    x = 8,861.36

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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.