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Finding the Fourth Proportional to 13,922.16, 19,213.49 and 7,634.54

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Solution

The fourth proportional to 13,922.16, 19,213.49 and 7,634.54 is: 10,536.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.16 : 19,213.49 = 7,634.54 : x
  2. Step 2: Convert to fraction form
    13,922.16/19,213.49 = 7,634.54/x
  3. Step 3: Cross multiply
    13,922.16x = 19,213.49 × 7,634.54
  4. Step 4: Simplify right side
    13,922.16x = 146,686,080.96
  5. Step 5: Solve for x
    x = 146,686,080.96/13,922.16
  6. Step 6: Final answer
    x = 10,536.16

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