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Finding the Fourth Proportional to 13,583.36, 18,744.36 and 7,994

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Solution

The fourth proportional to 13,583.36, 18,744.36 and 7,994 is: 11,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.36 : 18,744.36 = 7,994 : x
  2. Step 2: Convert to fraction form
    13,583.36/18,744.36 = 7,994/x
  3. Step 3: Cross multiply
    13,583.36x = 18,744.36 × 7,994
  4. Step 4: Simplify right side
    13,583.36x = 149,842,413.84
  5. Step 5: Solve for x
    x = 149,842,413.84/13,583.36
  6. Step 6: Final answer
    x = 11,031.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.