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Finding the Fourth Proportional to 2,720.62, 4,083 and 1,334.74

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Solution

The fourth proportional to 2,720.62, 4,083 and 1,334.74 is: 2,003.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.62 : 4,083 = 1,334.74 : x
  2. Step 2: Convert to fraction form
    2,720.62/4,083 = 1,334.74/x
  3. Step 3: Cross multiply
    2,720.62x = 4,083 × 1,334.74
  4. Step 4: Simplify right side
    2,720.62x = 5,449,743.42
  5. Step 5: Solve for x
    x = 5,449,743.42/2,720.62
  6. Step 6: Final answer
    x = 2,003.13

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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.