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Finding the Fourth Proportional to 37,906.94, 52,312 and 20,911.20

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Solution

The fourth proportional to 37,906.94, 52,312 and 20,911.20 is: 28,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,906.94 : 52,312 = 20,911.20 : x
  2. Step 2: Convert to fraction form
    37,906.94/52,312 = 20,911.20/x
  3. Step 3: Cross multiply
    37,906.94x = 52,312 × 20,911.20
  4. Step 4: Simplify right side
    37,906.94x = 1,093,906,694.40
  5. Step 5: Solve for x
    x = 1,093,906,694.40/37,906.94
  6. Step 6: Final answer
    x = 28,857.69

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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.