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Finding the Fourth Proportional to 13,662.75, 20,493.77 and 3,801.63

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Solution

The fourth proportional to 13,662.75, 20,493.77 and 3,801.63 is: 5,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.75 : 20,493.77 = 3,801.63 : x
  2. Step 2: Convert to fraction form
    13,662.75/20,493.77 = 3,801.63/x
  3. Step 3: Cross multiply
    13,662.75x = 20,493.77 × 3,801.63
  4. Step 4: Simplify right side
    13,662.75x = 77,909,711.84
  5. Step 5: Solve for x
    x = 77,909,711.84/13,662.75
  6. Step 6: Final answer
    x = 5,702.34

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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.