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Finding the Fourth Proportional to 11,866.42, 16,375.62 and 7,150.96

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Solution

The fourth proportional to 11,866.42, 16,375.62 and 7,150.96 is: 9,868.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.42 : 16,375.62 = 7,150.96 : x
  2. Step 2: Convert to fraction form
    11,866.42/16,375.62 = 7,150.96/x
  3. Step 3: Cross multiply
    11,866.42x = 16,375.62 × 7,150.96
  4. Step 4: Simplify right side
    11,866.42x = 117,101,403.60
  5. Step 5: Solve for x
    x = 117,101,403.60/11,866.42
  6. Step 6: Final answer
    x = 9,868.30

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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.