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Finding the Fourth Proportional to 11,511, 17,266.50 and 3,303

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Solution

The fourth proportional to 11,511, 17,266.50 and 3,303 is: 4,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511 : 17,266.50 = 3,303 : x
  2. Step 2: Convert to fraction form
    11,511/17,266.50 = 3,303/x
  3. Step 3: Cross multiply
    11,511x = 17,266.50 × 3,303
  4. Step 4: Simplify right side
    11,511x = 57,031,249.50
  5. Step 5: Solve for x
    x = 57,031,249.50/11,511
  6. Step 6: Final answer
    x = 4,954.50

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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.