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Finding the Fourth Proportional to 37,137, 51,249.90 and 20,370

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Solution

The fourth proportional to 37,137, 51,249.90 and 20,370 is: 28,111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,137 : 51,249.90 = 20,370 : x
  2. Step 2: Convert to fraction form
    37,137/51,249.90 = 20,370/x
  3. Step 3: Cross multiply
    37,137x = 51,249.90 × 20,370
  4. Step 4: Simplify right side
    37,137x = 1,043,960,463
  5. Step 5: Solve for x
    x = 1,043,960,463/37,137
  6. Step 6: Final answer
    x = 28,111.06

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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.