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Finding the Fourth Proportional to 22,242, 30,687.92 and 13,285.52

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Solution

The fourth proportional to 22,242, 30,687.92 and 13,285.52 is: 18,330.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,242 : 30,687.92 = 13,285.52 : x
  2. Step 2: Convert to fraction form
    22,242/30,687.92 = 13,285.52/x
  3. Step 3: Cross multiply
    22,242x = 30,687.92 × 13,285.52
  4. Step 4: Simplify right side
    22,242x = 407,704,974.92
  5. Step 5: Solve for x
    x = 407,704,974.92/22,242
  6. Step 6: Final answer
    x = 18,330.41

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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.