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Finding the Fourth Proportional to 8,815.97, 13,224.01 and 2,242.16

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Solution

The fourth proportional to 8,815.97, 13,224.01 and 2,242.16 is: 3,363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,815.97 : 13,224.01 = 2,242.16 : x
  2. Step 2: Convert to fraction form
    8,815.97/13,224.01 = 2,242.16/x
  3. Step 3: Cross multiply
    8,815.97x = 13,224.01 × 2,242.16
  4. Step 4: Simplify right side
    8,815.97x = 29,650,346.26
  5. Step 5: Solve for x
    x = 29,650,346.26/8,815.97
  6. Step 6: Final answer
    x = 3,363.25

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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.