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Finding the Fourth Proportional to 22,155.21, 30,556.90 and 14,198.17

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Solution

The fourth proportional to 22,155.21, 30,556.90 and 14,198.17 is: 19,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,155.21 : 30,556.90 = 14,198.17 : x
  2. Step 2: Convert to fraction form
    22,155.21/30,556.90 = 14,198.17/x
  3. Step 3: Cross multiply
    22,155.21x = 30,556.90 × 14,198.17
  4. Step 4: Simplify right side
    22,155.21x = 433,852,060.87
  5. Step 5: Solve for x
    x = 433,852,060.87/22,155.21
  6. Step 6: Final answer
    x = 19,582.39

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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.