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Finding the Fourth Proportional to 36,500, 50,370.76 and 20,581.40

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Solution

The fourth proportional to 36,500, 50,370.76 and 20,581.40 is: 28,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,500 : 50,370.76 = 20,581.40 : x
  2. Step 2: Convert to fraction form
    36,500/50,370.76 = 20,581.40/x
  3. Step 3: Cross multiply
    36,500x = 50,370.76 × 20,581.40
  4. Step 4: Simplify right side
    36,500x = 1,036,700,759.86
  5. Step 5: Solve for x
    x = 1,036,700,759.86/36,500
  6. Step 6: Final answer
    x = 28,402.76

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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.