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Finding the Fourth Proportional to 2,145.12, 3,217.44 and 606

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Solution

The fourth proportional to 2,145.12, 3,217.44 and 606 is: 908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.12 : 3,217.44 = 606 : x
  2. Step 2: Convert to fraction form
    2,145.12/3,217.44 = 606/x
  3. Step 3: Cross multiply
    2,145.12x = 3,217.44 × 606
  4. Step 4: Simplify right side
    2,145.12x = 1,949,768.64
  5. Step 5: Solve for x
    x = 1,949,768.64/2,145.12
  6. Step 6: Final answer
    x = 908.93

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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.