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Finding the Fourth Proportional to 13,808.30, 19,053.41 and 7,838.82

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Solution

The fourth proportional to 13,808.30, 19,053.41 and 7,838.82 is: 10,816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.30 : 19,053.41 = 7,838.82 : x
  2. Step 2: Convert to fraction form
    13,808.30/19,053.41 = 7,838.82/x
  3. Step 3: Cross multiply
    13,808.30x = 19,053.41 × 7,838.82
  4. Step 4: Simplify right side
    13,808.30x = 149,356,212.18
  5. Step 5: Solve for x
    x = 149,356,212.18/13,808.30
  6. Step 6: Final answer
    x = 10,816.41

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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.