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Finding the Fourth Proportional to 2,851.68, 3,936.03 and 1,656.42

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Solution

The fourth proportional to 2,851.68, 3,936.03 and 1,656.42 is: 2,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.68 : 3,936.03 = 1,656.42 : x
  2. Step 2: Convert to fraction form
    2,851.68/3,936.03 = 1,656.42/x
  3. Step 3: Cross multiply
    2,851.68x = 3,936.03 × 1,656.42
  4. Step 4: Simplify right side
    2,851.68x = 6,519,718.81
  5. Step 5: Solve for x
    x = 6,519,718.81/2,851.68
  6. Step 6: Final answer
    x = 2,286.27

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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.