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Finding the Fourth Proportional to 13,722.11, 20,616 and 8,801.36

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Solution

The fourth proportional to 13,722.11, 20,616 and 8,801.36 is: 13,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.11 : 20,616 = 8,801.36 : x
  2. Step 2: Convert to fraction form
    13,722.11/20,616 = 8,801.36/x
  3. Step 3: Cross multiply
    13,722.11x = 20,616 × 8,801.36
  4. Step 4: Simplify right side
    13,722.11x = 181,448,837.76
  5. Step 5: Solve for x
    x = 181,448,837.76/13,722.11
  6. Step 6: Final answer
    x = 13,223.10

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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.