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Finding the Fourth Proportional to 11,728, 16,184.64 and 7,012.96

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Solution

The fourth proportional to 11,728, 16,184.64 and 7,012.96 is: 9,677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728 : 16,184.64 = 7,012.96 : x
  2. Step 2: Convert to fraction form
    11,728/16,184.64 = 7,012.96/x
  3. Step 3: Cross multiply
    11,728x = 16,184.64 × 7,012.96
  4. Step 4: Simplify right side
    11,728x = 113,502,232.93
  5. Step 5: Solve for x
    x = 113,502,232.93/11,728
  6. Step 6: Final answer
    x = 9,677.88

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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.