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Finding the Fourth Proportional to 11,788, 17,682.72 and 3,580

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Solution

The fourth proportional to 11,788, 17,682.72 and 3,580 is: 5,370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788 : 17,682.72 = 3,580 : x
  2. Step 2: Convert to fraction form
    11,788/17,682.72 = 3,580/x
  3. Step 3: Cross multiply
    11,788x = 17,682.72 × 3,580
  4. Step 4: Simplify right side
    11,788x = 63,304,137.60
  5. Step 5: Solve for x
    x = 63,304,137.60/11,788
  6. Step 6: Final answer
    x = 5,370.22

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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.