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Finding the Fourth Proportional to 3,164.87, 4,368.74 and 2,832.71

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Solution

The fourth proportional to 3,164.87, 4,368.74 and 2,832.71 is: 3,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.87 : 4,368.74 = 2,832.71 : x
  2. Step 2: Convert to fraction form
    3,164.87/4,368.74 = 2,832.71/x
  3. Step 3: Cross multiply
    3,164.87x = 4,368.74 × 2,832.71
  4. Step 4: Simplify right side
    3,164.87x = 12,375,337.48
  5. Step 5: Solve for x
    x = 12,375,337.48/3,164.87
  6. Step 6: Final answer
    x = 3,910.22

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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.