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Finding the Fourth Proportional to 11,689, 17,536.54 and 3,481

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Solution

The fourth proportional to 11,689, 17,536.54 and 3,481 is: 5,222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689 : 17,536.54 = 3,481 : x
  2. Step 2: Convert to fraction form
    11,689/17,536.54 = 3,481/x
  3. Step 3: Cross multiply
    11,689x = 17,536.54 × 3,481
  4. Step 4: Simplify right side
    11,689x = 61,044,695.74
  5. Step 5: Solve for x
    x = 61,044,695.74/11,689
  6. Step 6: Final answer
    x = 5,222.41

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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.