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Finding the Fourth Proportional to 12,413.66, 18,576.74 and 8,647.16

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Solution

The fourth proportional to 12,413.66, 18,576.74 and 8,647.16 is: 12,940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.66 : 18,576.74 = 8,647.16 : x
  2. Step 2: Convert to fraction form
    12,413.66/18,576.74 = 8,647.16/x
  3. Step 3: Cross multiply
    12,413.66x = 18,576.74 × 8,647.16
  4. Step 4: Simplify right side
    12,413.66x = 160,635,971.79
  5. Step 5: Solve for x
    x = 160,635,971.79/12,413.66
  6. Step 6: Final answer
    x = 12,940.26

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1.5x scale

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.