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Finding the Fourth Proportional to 6,413.71, 9,618.11 and 3,081.01

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Solution

The fourth proportional to 6,413.71, 9,618.11 and 3,081.01 is: 4,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.71 : 9,618.11 = 3,081.01 : x
  2. Step 2: Convert to fraction form
    6,413.71/9,618.11 = 3,081.01/x
  3. Step 3: Cross multiply
    6,413.71x = 9,618.11 × 3,081.01
  4. Step 4: Simplify right side
    6,413.71x = 29,633,506.51
  5. Step 5: Solve for x
    x = 29,633,506.51/6,413.71
  6. Step 6: Final answer
    x = 4,620.34

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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.