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Finding the Fourth Proportional to 11,969.87, 16,518.20 and 6,664.59

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Solution

The fourth proportional to 11,969.87, 16,518.20 and 6,664.59 is: 9,197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.87 : 16,518.20 = 6,664.59 : x
  2. Step 2: Convert to fraction form
    11,969.87/16,518.20 = 6,664.59/x
  3. Step 3: Cross multiply
    11,969.87x = 16,518.20 × 6,664.59
  4. Step 4: Simplify right side
    11,969.87x = 110,086,997.22
  5. Step 5: Solve for x
    x = 110,086,997.22/11,969.87
  6. Step 6: Final answer
    x = 9,197.01

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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.