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Finding the Fourth Proportional to 2,790, 3,850.04 and 1,656.38

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Solution

The fourth proportional to 2,790, 3,850.04 and 1,656.38 is: 2,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790 : 3,850.04 = 1,656.38 : x
  2. Step 2: Convert to fraction form
    2,790/3,850.04 = 1,656.38/x
  3. Step 3: Cross multiply
    2,790x = 3,850.04 × 1,656.38
  4. Step 4: Simplify right side
    2,790x = 6,377,129.26
  5. Step 5: Solve for x
    x = 6,377,129.26/2,790
  6. Step 6: Final answer
    x = 2,285.71

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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.