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Finding the Fourth Proportional to 2,867.82, 3,953.88 and 1,857.73

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Solution

The fourth proportional to 2,867.82, 3,953.88 and 1,857.73 is: 2,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.82 : 3,953.88 = 1,857.73 : x
  2. Step 2: Convert to fraction form
    2,867.82/3,953.88 = 1,857.73/x
  3. Step 3: Cross multiply
    2,867.82x = 3,953.88 × 1,857.73
  4. Step 4: Simplify right side
    2,867.82x = 7,345,241.49
  5. Step 5: Solve for x
    x = 7,345,241.49/2,867.82
  6. Step 6: Final answer
    x = 2,561.26

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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.