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Finding the Fourth Proportional to 8,614.60, 12,921.18 and 2,769.64

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Solution

The fourth proportional to 8,614.60, 12,921.18 and 2,769.64 is: 4,154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.60 : 12,921.18 = 2,769.64 : x
  2. Step 2: Convert to fraction form
    8,614.60/12,921.18 = 2,769.64/x
  3. Step 3: Cross multiply
    8,614.60x = 12,921.18 × 2,769.64
  4. Step 4: Simplify right side
    8,614.60x = 35,787,016.98
  5. Step 5: Solve for x
    x = 35,787,016.98/8,614.60
  6. Step 6: Final answer
    x = 4,154.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.