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Finding the Fourth Proportional to 2,662.95, 3,993.18 and 814.26

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Solution

The fourth proportional to 2,662.95, 3,993.18 and 814.26 is: 1,221.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.95 : 3,993.18 = 814.26 : x
  2. Step 2: Convert to fraction form
    2,662.95/3,993.18 = 814.26/x
  3. Step 3: Cross multiply
    2,662.95x = 3,993.18 × 814.26
  4. Step 4: Simplify right side
    2,662.95x = 3,251,486.75
  5. Step 5: Solve for x
    x = 3,251,486.75/2,662.95
  6. Step 6: Final answer
    x = 1,221.01

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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.