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Finding the Fourth Proportional to 8,666, 11,961.24 and 4,942.16

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Solution

The fourth proportional to 8,666, 11,961.24 and 4,942.16 is: 6,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666 : 11,961.24 = 4,942.16 : x
  2. Step 2: Convert to fraction form
    8,666/11,961.24 = 4,942.16/x
  3. Step 3: Cross multiply
    8,666x = 11,961.24 × 4,942.16
  4. Step 4: Simplify right side
    8,666x = 59,114,361.88
  5. Step 5: Solve for x
    x = 59,114,361.88/8,666
  6. Step 6: Final answer
    x = 6,821.41

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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.