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Finding the Fourth Proportional to 2,829.42, 3,906.93 and 1,836.41

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Solution

The fourth proportional to 2,829.42, 3,906.93 and 1,836.41 is: 2,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.42 : 3,906.93 = 1,836.41 : x
  2. Step 2: Convert to fraction form
    2,829.42/3,906.93 = 1,836.41/x
  3. Step 3: Cross multiply
    2,829.42x = 3,906.93 × 1,836.41
  4. Step 4: Simplify right side
    2,829.42x = 7,174,705.79
  5. Step 5: Solve for x
    x = 7,174,705.79/2,829.42
  6. Step 6: Final answer
    x = 2,535.75

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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.