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Finding the Fourth Proportional to 2,066, 2,851.80 and 1,238

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Solution

The fourth proportional to 2,066, 2,851.80 and 1,238 is: 1,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066 : 2,851.80 = 1,238 : x
  2. Step 2: Convert to fraction form
    2,066/2,851.80 = 1,238/x
  3. Step 3: Cross multiply
    2,066x = 2,851.80 × 1,238
  4. Step 4: Simplify right side
    2,066x = 3,530,528.40
  5. Step 5: Solve for x
    x = 3,530,528.40/2,066
  6. Step 6: Final answer
    x = 1,708.87

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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.