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Finding the Fourth Proportional to 11,388, 17,033.13 and 8,232.51

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Solution

The fourth proportional to 11,388, 17,033.13 and 8,232.51 is: 12,313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,388 : 17,033.13 = 8,232.51 : x
  2. Step 2: Convert to fraction form
    11,388/17,033.13 = 8,232.51/x
  3. Step 3: Cross multiply
    11,388x = 17,033.13 × 8,232.51
  4. Step 4: Simplify right side
    11,388x = 140,225,413.06
  5. Step 5: Solve for x
    x = 140,225,413.06/11,388
  6. Step 6: Final answer
    x = 12,313.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.