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Finding the Fourth Proportional to 37,900, 52,300.88 and 21,983.44

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Solution

The fourth proportional to 37,900, 52,300.88 and 21,983.44 is: 30,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,900 : 52,300.88 = 21,983.44 : x
  2. Step 2: Convert to fraction form
    37,900/52,300.88 = 21,983.44/x
  3. Step 3: Cross multiply
    37,900x = 52,300.88 × 21,983.44
  4. Step 4: Simplify right side
    37,900x = 1,149,753,257.43
  5. Step 5: Solve for x
    x = 1,149,753,257.43/37,900
  6. Step 6: Final answer
    x = 30,336.50

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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.