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Finding the Fourth Proportional to 11,420, 17,130 and 3,212

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Solution

The fourth proportional to 11,420, 17,130 and 3,212 is: 4,818

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420 : 17,130 = 3,212 : x
  2. Step 2: Convert to fraction form
    11,420/17,130 = 3,212/x
  3. Step 3: Cross multiply
    11,420x = 17,130 × 3,212
  4. Step 4: Simplify right side
    11,420x = 55,021,560
  5. Step 5: Solve for x
    x = 55,021,560/11,420
  6. Step 6: Final answer
    x = 4,818

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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.