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Finding the Fourth Proportional to 12,288, 16,957.47 and 6,699

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Solution

The fourth proportional to 12,288, 16,957.47 and 6,699 is: 9,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288 : 16,957.47 = 6,699 : x
  2. Step 2: Convert to fraction form
    12,288/16,957.47 = 6,699/x
  3. Step 3: Cross multiply
    12,288x = 16,957.47 × 6,699
  4. Step 4: Simplify right side
    12,288x = 113,598,091.53
  5. Step 5: Solve for x
    x = 113,598,091.53/12,288
  6. Step 6: Final answer
    x = 9,244.64

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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.