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Finding the Fourth Proportional to 2,217.88, 3,327.58 and 758.06

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Solution

The fourth proportional to 2,217.88, 3,327.58 and 758.06 is: 1,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.88 : 3,327.58 = 758.06 : x
  2. Step 2: Convert to fraction form
    2,217.88/3,327.58 = 758.06/x
  3. Step 3: Cross multiply
    2,217.88x = 3,327.58 × 758.06
  4. Step 4: Simplify right side
    2,217.88x = 2,522,488.66
  5. Step 5: Solve for x
    x = 2,522,488.66/2,217.88
  6. Step 6: Final answer
    x = 1,137.34

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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.