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Finding the Fourth Proportional to 13,805.70, 20,701.53 and 6,786.24

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Solution

The fourth proportional to 13,805.70, 20,701.53 and 6,786.24 is: 10,175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.70 : 20,701.53 = 6,786.24 : x
  2. Step 2: Convert to fraction form
    13,805.70/20,701.53 = 6,786.24/x
  3. Step 3: Cross multiply
    13,805.70x = 20,701.53 × 6,786.24
  4. Step 4: Simplify right side
    13,805.70x = 140,485,550.95
  5. Step 5: Solve for x
    x = 140,485,550.95/13,805.70
  6. Step 6: Final answer
    x = 10,175.91

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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.