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Finding the Fourth Proportional to 37,286.76, 51,455.82 and 20,291

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Solution

The fourth proportional to 37,286.76, 51,455.82 and 20,291 is: 28,001.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,286.76 : 51,455.82 = 20,291 : x
  2. Step 2: Convert to fraction form
    37,286.76/51,455.82 = 20,291/x
  3. Step 3: Cross multiply
    37,286.76x = 51,455.82 × 20,291
  4. Step 4: Simplify right side
    37,286.76x = 1,044,090,043.62
  5. Step 5: Solve for x
    x = 1,044,090,043.62/37,286.76
  6. Step 6: Final answer
    x = 28,001.63

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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.