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Finding the Fourth Proportional to 19,919.16, 29,891.22 and 18,413.40

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Solution

The fourth proportional to 19,919.16, 29,891.22 and 18,413.40 is: 27,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,919.16 : 29,891.22 = 18,413.40 : x
  2. Step 2: Convert to fraction form
    19,919.16/29,891.22 = 18,413.40/x
  3. Step 3: Cross multiply
    19,919.16x = 29,891.22 × 18,413.40
  4. Step 4: Simplify right side
    19,919.16x = 550,398,990.35
  5. Step 5: Solve for x
    x = 550,398,990.35/19,919.16
  6. Step 6: Final answer
    x = 27,631.64

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Why These Related Problems?

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