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Finding the Fourth Proportional to 2,795.82, 3,857.42 and 1,616.70

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Solution

The fourth proportional to 2,795.82, 3,857.42 and 1,616.70 is: 2,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.82 : 3,857.42 = 1,616.70 : x
  2. Step 2: Convert to fraction form
    2,795.82/3,857.42 = 1,616.70/x
  3. Step 3: Cross multiply
    2,795.82x = 3,857.42 × 1,616.70
  4. Step 4: Simplify right side
    2,795.82x = 6,236,290.91
  5. Step 5: Solve for x
    x = 6,236,290.91/2,795.82
  6. Step 6: Final answer
    x = 2,230.58

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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.