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Finding the Fourth Proportional to 37,997.80, 57,004.80 and 11,705.20

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Solution

The fourth proportional to 37,997.80, 57,004.80 and 11,705.20 is: 17,560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,997.80 : 57,004.80 = 11,705.20 : x
  2. Step 2: Convert to fraction form
    37,997.80/57,004.80 = 11,705.20/x
  3. Step 3: Cross multiply
    37,997.80x = 57,004.80 × 11,705.20
  4. Step 4: Simplify right side
    37,997.80x = 667,252,584.96
  5. Step 5: Solve for x
    x = 667,252,584.96/37,997.80
  6. Step 6: Final answer
    x = 17,560.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.