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Finding the Fourth Proportional to 13,969, 20,954.76 and 3,580.84

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Solution

The fourth proportional to 13,969, 20,954.76 and 3,580.84 is: 5,371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969 : 20,954.76 = 3,580.84 : x
  2. Step 2: Convert to fraction form
    13,969/20,954.76 = 3,580.84/x
  3. Step 3: Cross multiply
    13,969x = 20,954.76 × 3,580.84
  4. Step 4: Simplify right side
    13,969x = 75,035,642.80
  5. Step 5: Solve for x
    x = 75,035,642.80/13,969
  6. Step 6: Final answer
    x = 5,371.58

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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.