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Finding the Fourth Proportional to 11,672.75, 16,108.40 and 7,481

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Solution

The fourth proportional to 11,672.75, 16,108.40 and 7,481 is: 10,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.75 : 16,108.40 = 7,481 : x
  2. Step 2: Convert to fraction form
    11,672.75/16,108.40 = 7,481/x
  3. Step 3: Cross multiply
    11,672.75x = 16,108.40 × 7,481
  4. Step 4: Simplify right side
    11,672.75x = 120,506,940.40
  5. Step 5: Solve for x
    x = 120,506,940.40/11,672.75
  6. Step 6: Final answer
    x = 10,323.78

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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.