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Finding the Fourth Proportional to 13,797.95, 20,696.72 and 3,409.70

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Solution

The fourth proportional to 13,797.95, 20,696.72 and 3,409.70 is: 5,114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.95 : 20,696.72 = 3,409.70 : x
  2. Step 2: Convert to fraction form
    13,797.95/20,696.72 = 3,409.70/x
  3. Step 3: Cross multiply
    13,797.95x = 20,696.72 × 3,409.70
  4. Step 4: Simplify right side
    13,797.95x = 70,569,485.65
  5. Step 5: Solve for x
    x = 70,569,485.65/13,797.95
  6. Step 6: Final answer
    x = 5,114.49

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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.