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Finding the Fourth Proportional to 13,615, 18,788.34 and 7,647.32

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Solution

The fourth proportional to 13,615, 18,788.34 and 7,647.32 is: 10,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615 : 18,788.34 = 7,647.32 : x
  2. Step 2: Convert to fraction form
    13,615/18,788.34 = 7,647.32/x
  3. Step 3: Cross multiply
    13,615x = 18,788.34 × 7,647.32
  4. Step 4: Simplify right side
    13,615x = 143,680,448.25
  5. Step 5: Solve for x
    x = 143,680,448.25/13,615
  6. Step 6: Final answer
    x = 10,553.10

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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.