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Finding the Fourth Proportional to 11,866.96, 16,375.56 and 6,560.80

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Solution

The fourth proportional to 11,866.96, 16,375.56 and 6,560.80 is: 9,053.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.96 : 16,375.56 = 6,560.80 : x
  2. Step 2: Convert to fraction form
    11,866.96/16,375.56 = 6,560.80/x
  3. Step 3: Cross multiply
    11,866.96x = 16,375.56 × 6,560.80
  4. Step 4: Simplify right side
    11,866.96x = 107,436,774.05
  5. Step 5: Solve for x
    x = 107,436,774.05/11,866.96
  6. Step 6: Final answer
    x = 9,053.44

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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.