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Finding the Fourth Proportional to 13,193.50, 19,790.26 and 3,959.50

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Solution

The fourth proportional to 13,193.50, 19,790.26 and 3,959.50 is: 5,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.50 : 19,790.26 = 3,959.50 : x
  2. Step 2: Convert to fraction form
    13,193.50/19,790.26 = 3,959.50/x
  3. Step 3: Cross multiply
    13,193.50x = 19,790.26 × 3,959.50
  4. Step 4: Simplify right side
    13,193.50x = 78,359,534.47
  5. Step 5: Solve for x
    x = 78,359,534.47/13,193.50
  6. Step 6: Final answer
    x = 5,939.25

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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.