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Finding the Fourth Proportional to 3,062.96, 4,227 and 1,820.72

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Solution

The fourth proportional to 3,062.96, 4,227 and 1,820.72 is: 2,512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.96 : 4,227 = 1,820.72 : x
  2. Step 2: Convert to fraction form
    3,062.96/4,227 = 1,820.72/x
  3. Step 3: Cross multiply
    3,062.96x = 4,227 × 1,820.72
  4. Step 4: Simplify right side
    3,062.96x = 7,696,183.44
  5. Step 5: Solve for x
    x = 7,696,183.44/3,062.96
  6. Step 6: Final answer
    x = 2,512.66

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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.