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Finding the Fourth Proportional to 2,600.21, 3,900.94 and 868.97

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Solution

The fourth proportional to 2,600.21, 3,900.94 and 868.97 is: 1,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.21 : 3,900.94 = 868.97 : x
  2. Step 2: Convert to fraction form
    2,600.21/3,900.94 = 868.97/x
  3. Step 3: Cross multiply
    2,600.21x = 3,900.94 × 868.97
  4. Step 4: Simplify right side
    2,600.21x = 3,389,778.15
  5. Step 5: Solve for x
    x = 3,389,778.15/2,600.21
  6. Step 6: Final answer
    x = 1,303.66

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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.