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Finding the Fourth Proportional to 12,165, 16,787.70 and 6,576

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Solution

The fourth proportional to 12,165, 16,787.70 and 6,576 is: 9,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165 : 16,787.70 = 6,576 : x
  2. Step 2: Convert to fraction form
    12,165/16,787.70 = 6,576/x
  3. Step 3: Cross multiply
    12,165x = 16,787.70 × 6,576
  4. Step 4: Simplify right side
    12,165x = 110,395,915.20
  5. Step 5: Solve for x
    x = 110,395,915.20/12,165
  6. Step 6: Final answer
    x = 9,074.88

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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.