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Finding the Fourth Proportional to 13,194.85, 19,786.12 and 7,649.78

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Solution

The fourth proportional to 13,194.85, 19,786.12 and 7,649.78 is: 11,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.85 : 19,786.12 = 7,649.78 : x
  2. Step 2: Convert to fraction form
    13,194.85/19,786.12 = 7,649.78/x
  3. Step 3: Cross multiply
    13,194.85x = 19,786.12 × 7,649.78
  4. Step 4: Simplify right side
    13,194.85x = 151,359,465.05
  5. Step 5: Solve for x
    x = 151,359,465.05/13,194.85
  6. Step 6: Final answer
    x = 11,471.10

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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.