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Finding the Fourth Proportional to 2,786.10, 4,178.08 and 811.08

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Solution

The fourth proportional to 2,786.10, 4,178.08 and 811.08 is: 1,216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.10 : 4,178.08 = 811.08 : x
  2. Step 2: Convert to fraction form
    2,786.10/4,178.08 = 811.08/x
  3. Step 3: Cross multiply
    2,786.10x = 4,178.08 × 811.08
  4. Step 4: Simplify right side
    2,786.10x = 3,388,758.14
  5. Step 5: Solve for x
    x = 3,388,758.14/2,786.10
  6. Step 6: Final answer
    x = 1,216.31

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.