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Finding the Fourth Proportional to 13,968, 20,954.75 and 6,176.81

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Solution

The fourth proportional to 13,968, 20,954.75 and 6,176.81 is: 9,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,968 : 20,954.75 = 6,176.81 : x
  2. Step 2: Convert to fraction form
    13,968/20,954.75 = 6,176.81/x
  3. Step 3: Cross multiply
    13,968x = 20,954.75 × 6,176.81
  4. Step 4: Simplify right side
    13,968x = 129,433,530.85
  5. Step 5: Solve for x
    x = 129,433,530.85/13,968
  6. Step 6: Final answer
    x = 9,266.43

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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.