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Finding the Fourth Proportional to 19,970, 27,558.60 and 11,138

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Solution

The fourth proportional to 19,970, 27,558.60 and 11,138 is: 15,370.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970 : 27,558.60 = 11,138 : x
  2. Step 2: Convert to fraction form
    19,970/27,558.60 = 11,138/x
  3. Step 3: Cross multiply
    19,970x = 27,558.60 × 11,138
  4. Step 4: Simplify right side
    19,970x = 306,947,686.80
  5. Step 5: Solve for x
    x = 306,947,686.80/19,970
  6. Step 6: Final answer
    x = 15,370.44

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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.