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Finding the Fourth Proportional to 12,413.66, 17,134.54 and 7,112.00

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Solution

The fourth proportional to 12,413.66, 17,134.54 and 7,112.00 is: 9,816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.66 : 17,134.54 = 7,112.00 : x
  2. Step 2: Convert to fraction form
    12,413.66/17,134.54 = 7,112.00/x
  3. Step 3: Cross multiply
    12,413.66x = 17,134.54 × 7,112.00
  4. Step 4: Simplify right side
    12,413.66x = 121,860,873.54
  5. Step 5: Solve for x
    x = 121,860,873.54/12,413.66
  6. Step 6: Final answer
    x = 9,816.68

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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.