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Finding the Fourth Proportional to 2,794.39, 3,857.12 and 1,799.66

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Solution

The fourth proportional to 2,794.39, 3,857.12 and 1,799.66 is: 2,484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.39 : 3,857.12 = 1,799.66 : x
  2. Step 2: Convert to fraction form
    2,794.39/3,857.12 = 1,799.66/x
  3. Step 3: Cross multiply
    2,794.39x = 3,857.12 × 1,799.66
  4. Step 4: Simplify right side
    2,794.39x = 6,941,518.72
  5. Step 5: Solve for x
    x = 6,941,518.72/2,794.39
  6. Step 6: Final answer
    x = 2,484.09

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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.