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Finding the Fourth Proportional to 37,138, 51,251.28 and 20,371

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Solution

The fourth proportional to 37,138, 51,251.28 and 20,371 is: 28,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,138 : 51,251.28 = 20,371 : x
  2. Step 2: Convert to fraction form
    37,138/51,251.28 = 20,371/x
  3. Step 3: Cross multiply
    37,138x = 51,251.28 × 20,371
  4. Step 4: Simplify right side
    37,138x = 1,044,039,824.88
  5. Step 5: Solve for x
    x = 1,044,039,824.88/37,138
  6. Step 6: Final answer
    x = 28,112.44

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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.