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Finding the Fourth Proportional to 8,939, 13,409.22 and 2,783

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Solution

The fourth proportional to 8,939, 13,409.22 and 2,783 is: 4,174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,939 : 13,409.22 = 2,783 : x
  2. Step 2: Convert to fraction form
    8,939/13,409.22 = 2,783/x
  3. Step 3: Cross multiply
    8,939x = 13,409.22 × 2,783
  4. Step 4: Simplify right side
    8,939x = 37,317,859.26
  5. Step 5: Solve for x
    x = 37,317,859.26/8,939
  6. Step 6: Final answer
    x = 4,174.72

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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.