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Finding the Fourth Proportional to 22,777.38, 31,419.62 and 13,696.42

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Solution

The fourth proportional to 22,777.38, 31,419.62 and 13,696.42 is: 18,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.38 : 31,419.62 = 13,696.42 : x
  2. Step 2: Convert to fraction form
    22,777.38/31,419.62 = 13,696.42/x
  3. Step 3: Cross multiply
    22,777.38x = 31,419.62 × 13,696.42
  4. Step 4: Simplify right side
    22,777.38x = 430,336,311.76
  5. Step 5: Solve for x
    x = 430,336,311.76/22,777.38
  6. Step 6: Final answer
    x = 18,893.14

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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.