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Finding the Fourth Proportional to 14,146.50, 21,229.50 and 4,912.50

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Solution

The fourth proportional to 14,146.50, 21,229.50 and 4,912.50 is: 7,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146.50 : 21,229.50 = 4,912.50 : x
  2. Step 2: Convert to fraction form
    14,146.50/21,229.50 = 4,912.50/x
  3. Step 3: Cross multiply
    14,146.50x = 21,229.50 × 4,912.50
  4. Step 4: Simplify right side
    14,146.50x = 104,289,918.75
  5. Step 5: Solve for x
    x = 104,289,918.75/14,146.50
  6. Step 6: Final answer
    x = 7,372.14

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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.