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Finding the Fourth Proportional to 7,666.29, 11,499.44 and 3,280.91

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Solution

The fourth proportional to 7,666.29, 11,499.44 and 3,280.91 is: 4,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.29 : 11,499.44 = 3,280.91 : x
  2. Step 2: Convert to fraction form
    7,666.29/11,499.44 = 3,280.91/x
  3. Step 3: Cross multiply
    7,666.29x = 11,499.44 × 3,280.91
  4. Step 4: Simplify right side
    7,666.29x = 37,728,553.79
  5. Step 5: Solve for x
    x = 37,728,553.79/7,666.29
  6. Step 6: Final answer
    x = 4,921.36

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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.