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Finding the Fourth Proportional to 37,050, 51,129 and 20,283

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Solution

The fourth proportional to 37,050, 51,129 and 20,283 is: 27,990.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,050 : 51,129 = 20,283 : x
  2. Step 2: Convert to fraction form
    37,050/51,129 = 20,283/x
  3. Step 3: Cross multiply
    37,050x = 51,129 × 20,283
  4. Step 4: Simplify right side
    37,050x = 1,037,049,507
  5. Step 5: Solve for x
    x = 1,037,049,507/37,050
  6. Step 6: Final answer
    x = 27,990.54

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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.