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Finding the Fourth Proportional to 2,786.67, 3,847.50 and 2,290.95

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Solution

The fourth proportional to 2,786.67, 3,847.50 and 2,290.95 is: 3,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.67 : 3,847.50 = 2,290.95 : x
  2. Step 2: Convert to fraction form
    2,786.67/3,847.50 = 2,290.95/x
  3. Step 3: Cross multiply
    2,786.67x = 3,847.50 × 2,290.95
  4. Step 4: Simplify right side
    2,786.67x = 8,814,430.13
  5. Step 5: Solve for x
    x = 8,814,430.13/2,786.67
  6. Step 6: Final answer
    x = 3,163.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.