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Finding the Fourth Proportional to 2,169.33, 3,253.48 and 609.40

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Solution

The fourth proportional to 2,169.33, 3,253.48 and 609.40 is: 913.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.33 : 3,253.48 = 609.40 : x
  2. Step 2: Convert to fraction form
    2,169.33/3,253.48 = 609.40/x
  3. Step 3: Cross multiply
    2,169.33x = 3,253.48 × 609.40
  4. Step 4: Simplify right side
    2,169.33x = 1,982,667.67
  5. Step 5: Solve for x
    x = 1,982,667.67/2,169.33
  6. Step 6: Final answer
    x = 913.95

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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.