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Finding the Fourth Proportional to 2,729.66, 3,768.20 and 2,057.74

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Solution

The fourth proportional to 2,729.66, 3,768.20 and 2,057.74 is: 2,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.66 : 3,768.20 = 2,057.74 : x
  2. Step 2: Convert to fraction form
    2,729.66/3,768.20 = 2,057.74/x
  3. Step 3: Cross multiply
    2,729.66x = 3,768.20 × 2,057.74
  4. Step 4: Simplify right side
    2,729.66x = 7,753,959.25
  5. Step 5: Solve for x
    x = 7,753,959.25/2,729.66
  6. Step 6: Final answer
    x = 2,840.63

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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.