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Finding the Fourth Proportional to 2,796.40, 3,855.87 and 1,786.75

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Solution

The fourth proportional to 2,796.40, 3,855.87 and 1,786.75 is: 2,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.40 : 3,855.87 = 1,786.75 : x
  2. Step 2: Convert to fraction form
    2,796.40/3,855.87 = 1,786.75/x
  3. Step 3: Cross multiply
    2,796.40x = 3,855.87 × 1,786.75
  4. Step 4: Simplify right side
    2,796.40x = 6,889,475.72
  5. Step 5: Solve for x
    x = 6,889,475.72/2,796.40
  6. Step 6: Final answer
    x = 2,463.69

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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.