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Finding the Fourth Proportional to 11,409.68, 17,114 and 8,082.64

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Solution

The fourth proportional to 11,409.68, 17,114 and 8,082.64 is: 12,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.68 : 17,114 = 8,082.64 : x
  2. Step 2: Convert to fraction form
    11,409.68/17,114 = 8,082.64/x
  3. Step 3: Cross multiply
    11,409.68x = 17,114 × 8,082.64
  4. Step 4: Simplify right side
    11,409.68x = 138,326,300.96
  5. Step 5: Solve for x
    x = 138,326,300.96/11,409.68
  6. Step 6: Final answer
    x = 12,123.59

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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.