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Finding the Fourth Proportional to 14,768.80, 20,380.56 and 8,480.80

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Solution

The fourth proportional to 14,768.80, 20,380.56 and 8,480.80 is: 11,703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.80 : 20,380.56 = 8,480.80 : x
  2. Step 2: Convert to fraction form
    14,768.80/20,380.56 = 8,480.80/x
  3. Step 3: Cross multiply
    14,768.80x = 20,380.56 × 8,480.80
  4. Step 4: Simplify right side
    14,768.80x = 172,843,453.25
  5. Step 5: Solve for x
    x = 172,843,453.25/14,768.80
  6. Step 6: Final answer
    x = 11,703.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.