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Finding the Fourth Proportional to 14,224.56, 19,629.72 and 7,938

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Solution

The fourth proportional to 14,224.56, 19,629.72 and 7,938 is: 10,954.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.56 : 19,629.72 = 7,938 : x
  2. Step 2: Convert to fraction form
    14,224.56/19,629.72 = 7,938/x
  3. Step 3: Cross multiply
    14,224.56x = 19,629.72 × 7,938
  4. Step 4: Simplify right side
    14,224.56x = 155,820,717.36
  5. Step 5: Solve for x
    x = 155,820,717.36/14,224.56
  6. Step 6: Final answer
    x = 10,954.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.