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Finding the Fourth Proportional to 3,874.56, 5,360.64 and 3,730.56

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Solution

The fourth proportional to 3,874.56, 5,360.64 and 3,730.56 is: 5,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.56 : 5,360.64 = 3,730.56 : x
  2. Step 2: Convert to fraction form
    3,874.56/5,360.64 = 3,730.56/x
  3. Step 3: Cross multiply
    3,874.56x = 5,360.64 × 3,730.56
  4. Step 4: Simplify right side
    3,874.56x = 19,998,189.16
  5. Step 5: Solve for x
    x = 19,998,189.16/3,874.56
  6. Step 6: Final answer
    x = 5,161.41

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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.