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Finding the Fourth Proportional to 21,697.08, 29,942.04 and 13,202.04

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Solution

The fourth proportional to 21,697.08, 29,942.04 and 13,202.04 is: 18,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.08 : 29,942.04 = 13,202.04 : x
  2. Step 2: Convert to fraction form
    21,697.08/29,942.04 = 13,202.04/x
  3. Step 3: Cross multiply
    21,697.08x = 29,942.04 × 13,202.04
  4. Step 4: Simplify right side
    21,697.08x = 395,296,009.76
  5. Step 5: Solve for x
    x = 395,296,009.76/21,697.08
  6. Step 6: Final answer
    x = 18,218.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.