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Finding the Fourth Proportional to 13,813.56, 19,063.22 and 7,845.08

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Solution

The fourth proportional to 13,813.56, 19,063.22 and 7,845.08 is: 10,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.56 : 19,063.22 = 7,845.08 : x
  2. Step 2: Convert to fraction form
    13,813.56/19,063.22 = 7,845.08/x
  3. Step 3: Cross multiply
    13,813.56x = 19,063.22 × 7,845.08
  4. Step 4: Simplify right side
    13,813.56x = 149,552,351.42
  5. Step 5: Solve for x
    x = 149,552,351.42/13,813.56
  6. Step 6: Final answer
    x = 10,826.49

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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.