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Finding the Fourth Proportional to 11,609.70, 17,414.65 and 3,289.90

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Solution

The fourth proportional to 11,609.70, 17,414.65 and 3,289.90 is: 4,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.70 : 17,414.65 = 3,289.90 : x
  2. Step 2: Convert to fraction form
    11,609.70/17,414.65 = 3,289.90/x
  3. Step 3: Cross multiply
    11,609.70x = 17,414.65 × 3,289.90
  4. Step 4: Simplify right side
    11,609.70x = 57,292,457.04
  5. Step 5: Solve for x
    x = 57,292,457.04/11,609.70
  6. Step 6: Final answer
    x = 4,934.88

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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.