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Finding the Fourth Proportional to 2,145, 3,218.04 and 606

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Solution

The fourth proportional to 2,145, 3,218.04 and 606 is: 909.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145 : 3,218.04 = 606 : x
  2. Step 2: Convert to fraction form
    2,145/3,218.04 = 606/x
  3. Step 3: Cross multiply
    2,145x = 3,218.04 × 606
  4. Step 4: Simplify right side
    2,145x = 1,950,132.24
  5. Step 5: Solve for x
    x = 1,950,132.24/2,145
  6. Step 6: Final answer
    x = 909.15

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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.