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Finding the Fourth Proportional to 11,578, 17,369.96 and 3,370

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Solution

The fourth proportional to 11,578, 17,369.96 and 3,370 is: 5,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578 : 17,369.96 = 3,370 : x
  2. Step 2: Convert to fraction form
    11,578/17,369.96 = 3,370/x
  3. Step 3: Cross multiply
    11,578x = 17,369.96 × 3,370
  4. Step 4: Simplify right side
    11,578x = 58,536,765.20
  5. Step 5: Solve for x
    x = 58,536,765.20/11,578
  6. Step 6: Final answer
    x = 5,055.86

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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.