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Finding the Fourth Proportional to 2,266.02, 3,398.40 and 879.09

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Solution

The fourth proportional to 2,266.02, 3,398.40 and 879.09 is: 1,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.02 : 3,398.40 = 879.09 : x
  2. Step 2: Convert to fraction form
    2,266.02/3,398.40 = 879.09/x
  3. Step 3: Cross multiply
    2,266.02x = 3,398.40 × 879.09
  4. Step 4: Simplify right side
    2,266.02x = 2,987,499.46
  5. Step 5: Solve for x
    x = 2,987,499.46/2,266.02
  6. Step 6: Final answer
    x = 1,318.39

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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.