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Finding the Fourth Proportional to 2,730.66, 3,773.34 and 2,066.40

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Solution

The fourth proportional to 2,730.66, 3,773.34 and 2,066.40 is: 2,855.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.66 : 3,773.34 = 2,066.40 : x
  2. Step 2: Convert to fraction form
    2,730.66/3,773.34 = 2,066.40/x
  3. Step 3: Cross multiply
    2,730.66x = 3,773.34 × 2,066.40
  4. Step 4: Simplify right side
    2,730.66x = 7,797,229.78
  5. Step 5: Solve for x
    x = 7,797,229.78/2,730.66
  6. Step 6: Final answer
    x = 2,855.44

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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.