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Finding the Fourth Proportional to 8,820, 13,229.96 and 2,246.17

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Solution

The fourth proportional to 8,820, 13,229.96 and 2,246.17 is: 3,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,820 : 13,229.96 = 2,246.17 : x
  2. Step 2: Convert to fraction form
    8,820/13,229.96 = 2,246.17/x
  3. Step 3: Cross multiply
    8,820x = 13,229.96 × 2,246.17
  4. Step 4: Simplify right side
    8,820x = 29,716,739.25
  5. Step 5: Solve for x
    x = 29,716,739.25/8,820
  6. Step 6: Final answer
    x = 3,369.24

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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.