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Finding the Fourth Proportional to 8,296.99, 12,416.24 and 5,178.46

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Solution

The fourth proportional to 8,296.99, 12,416.24 and 5,178.46 is: 7,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.99 : 12,416.24 = 5,178.46 : x
  2. Step 2: Convert to fraction form
    8,296.99/12,416.24 = 5,178.46/x
  3. Step 3: Cross multiply
    8,296.99x = 12,416.24 × 5,178.46
  4. Step 4: Simplify right side
    8,296.99x = 64,296,976.30
  5. Step 5: Solve for x
    x = 64,296,976.30/8,296.99
  6. Step 6: Final answer
    x = 7,749.43

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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.