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Finding the Fourth Proportional to 13,816.74, 19,067.09 and 7,529.12

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Solution

The fourth proportional to 13,816.74, 19,067.09 and 7,529.12 is: 10,390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.74 : 19,067.09 = 7,529.12 : x
  2. Step 2: Convert to fraction form
    13,816.74/19,067.09 = 7,529.12/x
  3. Step 3: Cross multiply
    13,816.74x = 19,067.09 × 7,529.12
  4. Step 4: Simplify right side
    13,816.74x = 143,558,332.15
  5. Step 5: Solve for x
    x = 143,558,332.15/13,816.74
  6. Step 6: Final answer
    x = 10,390.17

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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.