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Finding the Fourth Proportional to 12,126.74, 16,726.57 and 7,413.35

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Solution

The fourth proportional to 12,126.74, 16,726.57 and 7,413.35 is: 10,225.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.74 : 16,726.57 = 7,413.35 : x
  2. Step 2: Convert to fraction form
    12,126.74/16,726.57 = 7,413.35/x
  3. Step 3: Cross multiply
    12,126.74x = 16,726.57 × 7,413.35
  4. Step 4: Simplify right side
    12,126.74x = 123,999,815.54
  5. Step 5: Solve for x
    x = 123,999,815.54/12,126.74
  6. Step 6: Final answer
    x = 10,225.33

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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.