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Finding the Fourth Proportional to 2,609.11, 3,914.94 and 1,148.08

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Solution

The fourth proportional to 2,609.11, 3,914.94 and 1,148.08 is: 1,722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.11 : 3,914.94 = 1,148.08 : x
  2. Step 2: Convert to fraction form
    2,609.11/3,914.94 = 1,148.08/x
  3. Step 3: Cross multiply
    2,609.11x = 3,914.94 × 1,148.08
  4. Step 4: Simplify right side
    2,609.11x = 4,494,664.32
  5. Step 5: Solve for x
    x = 4,494,664.32/2,609.11
  6. Step 6: Final answer
    x = 1,722.68

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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.