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Finding the Fourth Proportional to 1,786.10, 2,679.15 and 814.10

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Solution

The fourth proportional to 1,786.10, 2,679.15 and 814.10 is: 1,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.10 : 2,679.15 = 814.10 : x
  2. Step 2: Convert to fraction form
    1,786.10/2,679.15 = 814.10/x
  3. Step 3: Cross multiply
    1,786.10x = 2,679.15 × 814.10
  4. Step 4: Simplify right side
    1,786.10x = 2,181,096.02
  5. Step 5: Solve for x
    x = 2,181,096.02/1,786.10
  6. Step 6: Final answer
    x = 1,221.15

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Similar ratio
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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.