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Finding the Fourth Proportional to 11,903.40, 17,882.64 and 7,474.86

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Solution

The fourth proportional to 11,903.40, 17,882.64 and 7,474.86 is: 11,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.40 : 17,882.64 = 7,474.86 : x
  2. Step 2: Convert to fraction form
    11,903.40/17,882.64 = 7,474.86/x
  3. Step 3: Cross multiply
    11,903.40x = 17,882.64 × 7,474.86
  4. Step 4: Simplify right side
    11,903.40x = 133,670,230.43
  5. Step 5: Solve for x
    x = 133,670,230.43/11,903.40
  6. Step 6: Final answer
    x = 11,229.58

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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.