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Finding the Fourth Proportional to 37,201, 51,337.38 and 20,434

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Solution

The fourth proportional to 37,201, 51,337.38 and 20,434 is: 28,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,201 : 51,337.38 = 20,434 : x
  2. Step 2: Convert to fraction form
    37,201/51,337.38 = 20,434/x
  3. Step 3: Cross multiply
    37,201x = 51,337.38 × 20,434
  4. Step 4: Simplify right side
    37,201x = 1,049,028,022.92
  5. Step 5: Solve for x
    x = 1,049,028,022.92/37,201
  6. Step 6: Final answer
    x = 28,198.92

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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.