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Finding the Fourth Proportional to 11,971, 17,956.50 and 3,763

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Solution

The fourth proportional to 11,971, 17,956.50 and 3,763 is: 5,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971 : 17,956.50 = 3,763 : x
  2. Step 2: Convert to fraction form
    11,971/17,956.50 = 3,763/x
  3. Step 3: Cross multiply
    11,971x = 17,956.50 × 3,763
  4. Step 4: Simplify right side
    11,971x = 67,570,309.50
  5. Step 5: Solve for x
    x = 67,570,309.50/11,971
  6. Step 6: Final answer
    x = 5,644.50

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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.