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Finding the Fourth Proportional to 13,690, 20,532.95 and 3,828

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Solution

The fourth proportional to 13,690, 20,532.95 and 3,828 is: 5,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690 : 20,532.95 = 3,828 : x
  2. Step 2: Convert to fraction form
    13,690/20,532.95 = 3,828/x
  3. Step 3: Cross multiply
    13,690x = 20,532.95 × 3,828
  4. Step 4: Simplify right side
    13,690x = 78,600,132.60
  5. Step 5: Solve for x
    x = 78,600,132.60/13,690
  6. Step 6: Final answer
    x = 5,741.43

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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.