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Finding the Fourth Proportional to 37,200, 51,336 and 20,433

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Solution

The fourth proportional to 37,200, 51,336 and 20,433 is: 28,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,200 : 51,336 = 20,433 : x
  2. Step 2: Convert to fraction form
    37,200/51,336 = 20,433/x
  3. Step 3: Cross multiply
    37,200x = 51,336 × 20,433
  4. Step 4: Simplify right side
    37,200x = 1,048,948,488
  5. Step 5: Solve for x
    x = 1,048,948,488/37,200
  6. Step 6: Final answer
    x = 28,197.54

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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.