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Finding the Fourth Proportional to 3,742.74, 5,164.56 and 3,182.22

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Solution

The fourth proportional to 3,742.74, 5,164.56 and 3,182.22 is: 4,391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.74 : 5,164.56 = 3,182.22 : x
  2. Step 2: Convert to fraction form
    3,742.74/5,164.56 = 3,182.22/x
  3. Step 3: Cross multiply
    3,742.74x = 5,164.56 × 3,182.22
  4. Step 4: Simplify right side
    3,742.74x = 16,434,766.12
  5. Step 5: Solve for x
    x = 16,434,766.12/3,742.74
  6. Step 6: Final answer
    x = 4,391.11

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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.