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Finding the Fourth Proportional to 13,701.39, 18,908 and 7,413.77

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Solution

The fourth proportional to 13,701.39, 18,908 and 7,413.77 is: 10,231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.39 : 18,908 = 7,413.77 : x
  2. Step 2: Convert to fraction form
    13,701.39/18,908 = 7,413.77/x
  3. Step 3: Cross multiply
    13,701.39x = 18,908 × 7,413.77
  4. Step 4: Simplify right side
    13,701.39x = 140,179,563.16
  5. Step 5: Solve for x
    x = 140,179,563.16/13,701.39
  6. Step 6: Final answer
    x = 10,231.05

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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.