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Finding the Fourth Proportional to 11,922.45, 16,455.97 and 6,889.60

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Solution

The fourth proportional to 11,922.45, 16,455.97 and 6,889.60 is: 9,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.45 : 16,455.97 = 6,889.60 : x
  2. Step 2: Convert to fraction form
    11,922.45/16,455.97 = 6,889.60/x
  3. Step 3: Cross multiply
    11,922.45x = 16,455.97 × 6,889.60
  4. Step 4: Simplify right side
    11,922.45x = 113,375,050.91
  5. Step 5: Solve for x
    x = 113,375,050.91/11,922.45
  6. Step 6: Final answer
    x = 9,509.38

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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.