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Finding the Fourth Proportional to 2,339.70, 3,508.74 and 1,107.69

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Solution

The fourth proportional to 2,339.70, 3,508.74 and 1,107.69 is: 1,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.70 : 3,508.74 = 1,107.69 : x
  2. Step 2: Convert to fraction form
    2,339.70/3,508.74 = 1,107.69/x
  3. Step 3: Cross multiply
    2,339.70x = 3,508.74 × 1,107.69
  4. Step 4: Simplify right side
    2,339.70x = 3,886,596.21
  5. Step 5: Solve for x
    x = 3,886,596.21/2,339.70
  6. Step 6: Final answer
    x = 1,661.15

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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.