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Finding the Fourth Proportional to 13,773.75, 20,660.82 and 3,385.50

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Solution

The fourth proportional to 13,773.75, 20,660.82 and 3,385.50 is: 5,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.75 : 20,660.82 = 3,385.50 : x
  2. Step 2: Convert to fraction form
    13,773.75/20,660.82 = 3,385.50/x
  3. Step 3: Cross multiply
    13,773.75x = 20,660.82 × 3,385.50
  4. Step 4: Simplify right side
    13,773.75x = 69,947,206.11
  5. Step 5: Solve for x
    x = 69,947,206.11/13,773.75
  6. Step 6: Final answer
    x = 5,078.30

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1.5x scale

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.