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Finding the Fourth Proportional to 13,969.93, 20,954.71 and 3,440.08

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Solution

The fourth proportional to 13,969.93, 20,954.71 and 3,440.08 is: 5,160.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.93 : 20,954.71 = 3,440.08 : x
  2. Step 2: Convert to fraction form
    13,969.93/20,954.71 = 3,440.08/x
  3. Step 3: Cross multiply
    13,969.93x = 20,954.71 × 3,440.08
  4. Step 4: Simplify right side
    13,969.93x = 72,085,756.80
  5. Step 5: Solve for x
    x = 72,085,756.80/13,969.93
  6. Step 6: Final answer
    x = 5,160.07

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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.