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Finding the Fourth Proportional to 8,413.50, 12,620.49 and 2,257.50

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Solution

The fourth proportional to 8,413.50, 12,620.49 and 2,257.50 is: 3,386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.50 : 12,620.49 = 2,257.50 : x
  2. Step 2: Convert to fraction form
    8,413.50/12,620.49 = 2,257.50/x
  3. Step 3: Cross multiply
    8,413.50x = 12,620.49 × 2,257.50
  4. Step 4: Simplify right side
    8,413.50x = 28,490,756.18
  5. Step 5: Solve for x
    x = 28,490,756.18/8,413.50
  6. Step 6: Final answer
    x = 3,386.31

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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.