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Finding the Fourth Proportional to 37,797.50, 52,163.80 and 20,805.12

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Solution

The fourth proportional to 37,797.50, 52,163.80 and 20,805.12 is: 28,712.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,797.50 : 52,163.80 = 20,805.12 : x
  2. Step 2: Convert to fraction form
    37,797.50/52,163.80 = 20,805.12/x
  3. Step 3: Cross multiply
    37,797.50x = 52,163.80 × 20,805.12
  4. Step 4: Simplify right side
    37,797.50x = 1,085,274,066.64
  5. Step 5: Solve for x
    x = 1,085,274,066.64/37,797.50
  6. Step 6: Final answer
    x = 28,712.85

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1.5x scale

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.