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Finding the Fourth Proportional to 37,765, 52,115.70 and 20,997.64

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Solution

The fourth proportional to 37,765, 52,115.70 and 20,997.64 is: 28,976.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,765 : 52,115.70 = 20,997.64 : x
  2. Step 2: Convert to fraction form
    37,765/52,115.70 = 20,997.64/x
  3. Step 3: Cross multiply
    37,765x = 52,115.70 × 20,997.64
  4. Step 4: Simplify right side
    37,765x = 1,094,306,706.95
  5. Step 5: Solve for x
    x = 1,094,306,706.95/37,765
  6. Step 6: Final answer
    x = 28,976.74

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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.