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Finding the Fourth Proportional to 13,413.37, 18,507.71 and 7,443.77

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Solution

The fourth proportional to 13,413.37, 18,507.71 and 7,443.77 is: 10,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.37 : 18,507.71 = 7,443.77 : x
  2. Step 2: Convert to fraction form
    13,413.37/18,507.71 = 7,443.77/x
  3. Step 3: Cross multiply
    13,413.37x = 18,507.71 × 7,443.77
  4. Step 4: Simplify right side
    13,413.37x = 137,767,145.52
  5. Step 5: Solve for x
    x = 137,767,145.52/13,413.37
  6. Step 6: Final answer
    x = 10,270.88

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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.