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Finding the Fourth Proportional to 8,464.62, 11,685.17 and 5,636.70

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Solution

The fourth proportional to 8,464.62, 11,685.17 and 5,636.70 is: 7,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.62 : 11,685.17 = 5,636.70 : x
  2. Step 2: Convert to fraction form
    8,464.62/11,685.17 = 5,636.70/x
  3. Step 3: Cross multiply
    8,464.62x = 11,685.17 × 5,636.70
  4. Step 4: Simplify right side
    8,464.62x = 65,865,769.56
  5. Step 5: Solve for x
    x = 65,865,769.56/8,464.62
  6. Step 6: Final answer
    x = 7,781.30

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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.