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Finding the Fourth Proportional to 37,056, 51,137.28 and 20,289

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Solution

The fourth proportional to 37,056, 51,137.28 and 20,289 is: 27,998.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,056 : 51,137.28 = 20,289 : x
  2. Step 2: Convert to fraction form
    37,056/51,137.28 = 20,289/x
  3. Step 3: Cross multiply
    37,056x = 51,137.28 × 20,289
  4. Step 4: Simplify right side
    37,056x = 1,037,524,273.92
  5. Step 5: Solve for x
    x = 1,037,524,273.92/37,056
  6. Step 6: Final answer
    x = 27,998.82

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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.