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Finding the Fourth Proportional to 8,030, 12,047.42 and 3,413.36

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Solution

The fourth proportional to 8,030, 12,047.42 and 3,413.36 is: 5,121.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030 : 12,047.42 = 3,413.36 : x
  2. Step 2: Convert to fraction form
    8,030/12,047.42 = 3,413.36/x
  3. Step 3: Cross multiply
    8,030x = 12,047.42 × 3,413.36
  4. Step 4: Simplify right side
    8,030x = 41,122,181.53
  5. Step 5: Solve for x
    x = 41,122,181.53/8,030
  6. Step 6: Final answer
    x = 5,121.07

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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.