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Finding the Fourth Proportional to 11,685, 17,530.38 and 3,477

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Solution

The fourth proportional to 11,685, 17,530.38 and 3,477 is: 5,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685 : 17,530.38 = 3,477 : x
  2. Step 2: Convert to fraction form
    11,685/17,530.38 = 3,477/x
  3. Step 3: Cross multiply
    11,685x = 17,530.38 × 3,477
  4. Step 4: Simplify right side
    11,685x = 60,953,131.26
  5. Step 5: Solve for x
    x = 60,953,131.26/11,685
  6. Step 6: Final answer
    x = 5,216.36

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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.