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Finding the Fourth Proportional to 13,816.70, 19,067.07 and 7,529.08

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Solution

The fourth proportional to 13,816.70, 19,067.07 and 7,529.08 is: 10,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.70 : 19,067.07 = 7,529.08 : x
  2. Step 2: Convert to fraction form
    13,816.70/19,067.07 = 7,529.08/x
  3. Step 3: Cross multiply
    13,816.70x = 19,067.07 × 7,529.08
  4. Step 4: Simplify right side
    13,816.70x = 143,557,475.96
  5. Step 5: Solve for x
    x = 143,557,475.96/13,816.70
  6. Step 6: Final answer
    x = 10,390.14

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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.