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Finding the Fourth Proportional to 8,137.84, 12,206.76 and 2,942.50

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Solution

The fourth proportional to 8,137.84, 12,206.76 and 2,942.50 is: 4,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.84 : 12,206.76 = 2,942.50 : x
  2. Step 2: Convert to fraction form
    8,137.84/12,206.76 = 2,942.50/x
  3. Step 3: Cross multiply
    8,137.84x = 12,206.76 × 2,942.50
  4. Step 4: Simplify right side
    8,137.84x = 35,918,360.78
  5. Step 5: Solve for x
    x = 35,918,360.78/8,137.84
  6. Step 6: Final answer
    x = 4,413.75

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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.