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Finding the Fourth Proportional to 22,490.38, 31,037.94 and 12,418.78

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Solution

The fourth proportional to 22,490.38, 31,037.94 and 12,418.78 is: 17,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,490.38 : 31,037.94 = 12,418.78 : x
  2. Step 2: Convert to fraction form
    22,490.38/31,037.94 = 12,418.78/x
  3. Step 3: Cross multiply
    22,490.38x = 31,037.94 × 12,418.78
  4. Step 4: Simplify right side
    22,490.38x = 385,453,348.51
  5. Step 5: Solve for x
    x = 385,453,348.51/22,490.38
  6. Step 6: Final answer
    x = 17,138.59

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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.