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Finding the Fourth Proportional to 11,206.60, 16,809.22 and 4,964.78

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Solution

The fourth proportional to 11,206.60, 16,809.22 and 4,964.78 is: 7,446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.60 : 16,809.22 = 4,964.78 : x
  2. Step 2: Convert to fraction form
    11,206.60/16,809.22 = 4,964.78/x
  3. Step 3: Cross multiply
    11,206.60x = 16,809.22 × 4,964.78
  4. Step 4: Simplify right side
    11,206.60x = 83,454,079.27
  5. Step 5: Solve for x
    x = 83,454,079.27/11,206.60
  6. Step 6: Final answer
    x = 7,446.87

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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.