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Finding the Fourth Proportional to 13,077, 19,615.50 and 3,843

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Solution

The fourth proportional to 13,077, 19,615.50 and 3,843 is: 5,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077 : 19,615.50 = 3,843 : x
  2. Step 2: Convert to fraction form
    13,077/19,615.50 = 3,843/x
  3. Step 3: Cross multiply
    13,077x = 19,615.50 × 3,843
  4. Step 4: Simplify right side
    13,077x = 75,382,366.50
  5. Step 5: Solve for x
    x = 75,382,366.50/13,077
  6. Step 6: Final answer
    x = 5,764.50

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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.