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Finding the Fourth Proportional to 13,161, 19,741.50 and 3,927

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Solution

The fourth proportional to 13,161, 19,741.50 and 3,927 is: 5,890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161 : 19,741.50 = 3,927 : x
  2. Step 2: Convert to fraction form
    13,161/19,741.50 = 3,927/x
  3. Step 3: Cross multiply
    13,161x = 19,741.50 × 3,927
  4. Step 4: Simplify right side
    13,161x = 77,524,870.50
  5. Step 5: Solve for x
    x = 77,524,870.50/13,161
  6. Step 6: Final answer
    x = 5,890.50

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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.