Home / 11,823-17,734.77-3,502.86

Finding the Fourth Proportional to 11,823, 17,734.77 and 3,502.86

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Solution

The fourth proportional to 11,823, 17,734.77 and 3,502.86 is: 5,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823 : 17,734.77 = 3,502.86 : x
  2. Step 2: Convert to fraction form
    11,823/17,734.77 = 3,502.86/x
  3. Step 3: Cross multiply
    11,823x = 17,734.77 × 3,502.86
  4. Step 4: Simplify right side
    11,823x = 62,122,416.44
  5. Step 5: Solve for x
    x = 62,122,416.44/11,823
  6. Step 6: Final answer
    x = 5,254.37

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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.