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Finding the Fourth Proportional to 17,286.40, 25,929.60 and 9,413.20

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Solution

The fourth proportional to 17,286.40, 25,929.60 and 9,413.20 is: 14,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286.40 : 25,929.60 = 9,413.20 : x
  2. Step 2: Convert to fraction form
    17,286.40/25,929.60 = 9,413.20/x
  3. Step 3: Cross multiply
    17,286.40x = 25,929.60 × 9,413.20
  4. Step 4: Simplify right side
    17,286.40x = 244,080,510.72
  5. Step 5: Solve for x
    x = 244,080,510.72/17,286.40
  6. Step 6: Final answer
    x = 14,119.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.