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Finding the Fourth Proportional to 2,145.66, 3,218.31 and 606.66

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Solution

The fourth proportional to 2,145.66, 3,218.31 and 606.66 is: 909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.66 : 3,218.31 = 606.66 : x
  2. Step 2: Convert to fraction form
    2,145.66/3,218.31 = 606.66/x
  3. Step 3: Cross multiply
    2,145.66x = 3,218.31 × 606.66
  4. Step 4: Simplify right side
    2,145.66x = 1,952,419.94
  5. Step 5: Solve for x
    x = 1,952,419.94/2,145.66
  6. Step 6: Final answer
    x = 909.94

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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.