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Finding the Fourth Proportional to 13,807.36, 19,053.48 and 7,838.23

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Solution

The fourth proportional to 13,807.36, 19,053.48 and 7,838.23 is: 10,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.36 : 19,053.48 = 7,838.23 : x
  2. Step 2: Convert to fraction form
    13,807.36/19,053.48 = 7,838.23/x
  3. Step 3: Cross multiply
    13,807.36x = 19,053.48 × 7,838.23
  4. Step 4: Simplify right side
    13,807.36x = 149,345,558.54
  5. Step 5: Solve for x
    x = 149,345,558.54/13,807.36
  6. Step 6: Final answer
    x = 10,816.37

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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.