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Finding the Fourth Proportional to 11,709.52, 17,480.81 and 11,299.36

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Solution

The fourth proportional to 11,709.52, 17,480.81 and 11,299.36 is: 16,868.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.52 : 17,480.81 = 11,299.36 : x
  2. Step 2: Convert to fraction form
    11,709.52/17,480.81 = 11,299.36/x
  3. Step 3: Cross multiply
    11,709.52x = 17,480.81 × 11,299.36
  4. Step 4: Simplify right side
    11,709.52x = 197,521,965.28
  5. Step 5: Solve for x
    x = 197,521,965.28/11,709.52
  6. Step 6: Final answer
    x = 16,868.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.