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Finding the Fourth Proportional to 13,344, 18,413.12 and 7,965.44

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Solution

The fourth proportional to 13,344, 18,413.12 and 7,965.44 is: 10,991.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,344 : 18,413.12 = 7,965.44 : x
  2. Step 2: Convert to fraction form
    13,344/18,413.12 = 7,965.44/x
  3. Step 3: Cross multiply
    13,344x = 18,413.12 × 7,965.44
  4. Step 4: Simplify right side
    13,344x = 146,668,602.57
  5. Step 5: Solve for x
    x = 146,668,602.57/13,344
  6. Step 6: Final answer
    x = 10,991.35

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1.5x scale

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.