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Finding the Fourth Proportional to 11,969.84, 17,964 and 8,297.76

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Solution

The fourth proportional to 11,969.84, 17,964 and 8,297.76 is: 12,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.84 : 17,964 = 8,297.76 : x
  2. Step 2: Convert to fraction form
    11,969.84/17,964 = 8,297.76/x
  3. Step 3: Cross multiply
    11,969.84x = 17,964 × 8,297.76
  4. Step 4: Simplify right side
    11,969.84x = 149,060,960.64
  5. Step 5: Solve for x
    x = 149,060,960.64/11,969.84
  6. Step 6: Final answer
    x = 12,453.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.