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Finding the Fourth Proportional to 22,252, 30,709.68 and 12,317.92

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Solution

The fourth proportional to 22,252, 30,709.68 and 12,317.92 is: 16,999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,252 : 30,709.68 = 12,317.92 : x
  2. Step 2: Convert to fraction form
    22,252/30,709.68 = 12,317.92/x
  3. Step 3: Cross multiply
    22,252x = 30,709.68 × 12,317.92
  4. Step 4: Simplify right side
    22,252x = 378,279,381.47
  5. Step 5: Solve for x
    x = 378,279,381.47/22,252
  6. Step 6: Final answer
    x = 16,999.79

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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.