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Finding the Fourth Proportional to 20,043.78, 27,654.78 and 11,542.83

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Solution

The fourth proportional to 20,043.78, 27,654.78 and 11,542.83 is: 15,925.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,043.78 : 27,654.78 = 11,542.83 : x
  2. Step 2: Convert to fraction form
    20,043.78/27,654.78 = 11,542.83/x
  3. Step 3: Cross multiply
    20,043.78x = 27,654.78 × 11,542.83
  4. Step 4: Simplify right side
    20,043.78x = 319,214,424.23
  5. Step 5: Solve for x
    x = 319,214,424.23/20,043.78
  6. Step 6: Final answer
    x = 15,925.86

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1.5x scale

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.