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Finding the Fourth Proportional to 8,456.96, 11,674.68 and 5,629.04

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Solution

The fourth proportional to 8,456.96, 11,674.68 and 5,629.04 is: 7,770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.96 : 11,674.68 = 5,629.04 : x
  2. Step 2: Convert to fraction form
    8,456.96/11,674.68 = 5,629.04/x
  3. Step 3: Cross multiply
    8,456.96x = 11,674.68 × 5,629.04
  4. Step 4: Simplify right side
    8,456.96x = 65,717,240.71
  5. Step 5: Solve for x
    x = 65,717,240.71/8,456.96
  6. Step 6: Final answer
    x = 7,770.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.