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Finding the Fourth Proportional to 8,413.65, 12,684.31 and 8,413.65

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Solution

The fourth proportional to 8,413.65, 12,684.31 and 8,413.65 is: 12,684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.65 : 12,684.31 = 8,413.65 : x
  2. Step 2: Convert to fraction form
    8,413.65/12,684.31 = 8,413.65/x
  3. Step 3: Cross multiply
    8,413.65x = 12,684.31 × 8,413.65
  4. Step 4: Simplify right side
    8,413.65x = 106,721,323.80
  5. Step 5: Solve for x
    x = 106,721,323.80/8,413.65
  6. Step 6: Final answer
    x = 12,684.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.