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Finding the Fourth Proportional to 19,198.64, 28,885.80 and 11,413.28

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Solution

The fourth proportional to 19,198.64, 28,885.80 and 11,413.28 is: 17,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,198.64 : 28,885.80 = 11,413.28 : x
  2. Step 2: Convert to fraction form
    19,198.64/28,885.80 = 11,413.28/x
  3. Step 3: Cross multiply
    19,198.64x = 28,885.80 × 11,413.28
  4. Step 4: Simplify right side
    19,198.64x = 329,681,723.42
  5. Step 5: Solve for x
    x = 329,681,723.42/19,198.64
  6. Step 6: Final answer
    x = 17,172.14

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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.