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Finding the Fourth Proportional to 13,797.76, 20,696.64 and 3,409.51

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Solution

The fourth proportional to 13,797.76, 20,696.64 and 3,409.51 is: 5,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.76 : 20,696.64 = 3,409.51 : x
  2. Step 2: Convert to fraction form
    13,797.76/20,696.64 = 3,409.51/x
  3. Step 3: Cross multiply
    13,797.76x = 20,696.64 × 3,409.51
  4. Step 4: Simplify right side
    13,797.76x = 70,565,401.05
  5. Step 5: Solve for x
    x = 70,565,401.05/13,797.76
  6. Step 6: Final answer
    x = 5,114.27

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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.