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Finding the Fourth Proportional to 11,550, 17,325 and 3,342

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Solution

The fourth proportional to 11,550, 17,325 and 3,342 is: 5,013

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,550 : 17,325 = 3,342 : x
  2. Step 2: Convert to fraction form
    11,550/17,325 = 3,342/x
  3. Step 3: Cross multiply
    11,550x = 17,325 × 3,342
  4. Step 4: Simplify right side
    11,550x = 57,900,150
  5. Step 5: Solve for x
    x = 57,900,150/11,550
  6. Step 6: Final answer
    x = 5,013

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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.