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Finding the Fourth Proportional to 3,161.43, 4,741.77 and 1,987.97

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Solution

The fourth proportional to 3,161.43, 4,741.77 and 1,987.97 is: 2,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.43 : 4,741.77 = 1,987.97 : x
  2. Step 2: Convert to fraction form
    3,161.43/4,741.77 = 1,987.97/x
  3. Step 3: Cross multiply
    3,161.43x = 4,741.77 × 1,987.97
  4. Step 4: Simplify right side
    3,161.43x = 9,426,462.86
  5. Step 5: Solve for x
    x = 9,426,462.86/3,161.43
  6. Step 6: Final answer
    x = 2,981.71

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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.