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Finding the Fourth Proportional to 14,150, 21,225 and 7,994.48

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Solution

The fourth proportional to 14,150, 21,225 and 7,994.48 is: 11,991.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,150 : 21,225 = 7,994.48 : x
  2. Step 2: Convert to fraction form
    14,150/21,225 = 7,994.48/x
  3. Step 3: Cross multiply
    14,150x = 21,225 × 7,994.48
  4. Step 4: Simplify right side
    14,150x = 169,682,838
  5. Step 5: Solve for x
    x = 169,682,838/14,150
  6. Step 6: Final answer
    x = 11,991.72

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Double scale
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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.