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Finding the Fourth Proportional to 13,203.45, 19,805.19 and 3,969.45

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Solution

The fourth proportional to 13,203.45, 19,805.19 and 3,969.45 is: 5,954.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.45 : 19,805.19 = 3,969.45 : x
  2. Step 2: Convert to fraction form
    13,203.45/19,805.19 = 3,969.45/x
  3. Step 3: Cross multiply
    13,203.45x = 19,805.19 × 3,969.45
  4. Step 4: Simplify right side
    13,203.45x = 78,615,711.45
  5. Step 5: Solve for x
    x = 78,615,711.45/13,203.45
  6. Step 6: Final answer
    x = 5,954.18

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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.