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Finding the Fourth Proportional to 8,413.84, 12,619 and 2,867.14

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Solution

The fourth proportional to 8,413.84, 12,619 and 2,867.14 is: 4,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.84 : 12,619 = 2,867.14 : x
  2. Step 2: Convert to fraction form
    8,413.84/12,619 = 2,867.14/x
  3. Step 3: Cross multiply
    8,413.84x = 12,619 × 2,867.14
  4. Step 4: Simplify right side
    8,413.84x = 36,180,439.66
  5. Step 5: Solve for x
    x = 36,180,439.66/8,413.84
  6. Step 6: Final answer
    x = 4,300.11

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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.