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Finding the Fourth Proportional to 9,192.01, 12,689.30 and 5,413.98

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Solution

The fourth proportional to 9,192.01, 12,689.30 and 5,413.98 is: 7,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.01 : 12,689.30 = 5,413.98 : x
  2. Step 2: Convert to fraction form
    9,192.01/12,689.30 = 5,413.98/x
  3. Step 3: Cross multiply
    9,192.01x = 12,689.30 × 5,413.98
  4. Step 4: Simplify right side
    9,192.01x = 68,699,616.41
  5. Step 5: Solve for x
    x = 68,699,616.41/9,192.01
  6. Step 6: Final answer
    x = 7,473.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.