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Finding the Fourth Proportional to 13,759, 20,638.26 and 4,398.94

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Solution

The fourth proportional to 13,759, 20,638.26 and 4,398.94 is: 6,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759 : 20,638.26 = 4,398.94 : x
  2. Step 2: Convert to fraction form
    13,759/20,638.26 = 4,398.94/x
  3. Step 3: Cross multiply
    13,759x = 20,638.26 × 4,398.94
  4. Step 4: Simplify right side
    13,759x = 90,786,467.44
  5. Step 5: Solve for x
    x = 90,786,467.44/13,759
  6. Step 6: Final answer
    x = 6,598.33

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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.