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Finding the Fourth Proportional to 2,857.13, 3,945.54 and 2,701.84

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Solution

The fourth proportional to 2,857.13, 3,945.54 and 2,701.84 is: 3,731.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.13 : 3,945.54 = 2,701.84 : x
  2. Step 2: Convert to fraction form
    2,857.13/3,945.54 = 2,701.84/x
  3. Step 3: Cross multiply
    2,857.13x = 3,945.54 × 2,701.84
  4. Step 4: Simplify right side
    2,857.13x = 10,660,217.79
  5. Step 5: Solve for x
    x = 10,660,217.79/2,857.13
  6. Step 6: Final answer
    x = 3,731.09

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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.