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Finding the Fourth Proportional to 2,600.33, 3,900.50 and 868.96

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Solution

The fourth proportional to 2,600.33, 3,900.50 and 868.96 is: 1,303.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.33 : 3,900.50 = 868.96 : x
  2. Step 2: Convert to fraction form
    2,600.33/3,900.50 = 868.96/x
  3. Step 3: Cross multiply
    2,600.33x = 3,900.50 × 868.96
  4. Step 4: Simplify right side
    2,600.33x = 3,389,367.04
  5. Step 5: Solve for x
    x = 3,389,367.04/2,600.33
  6. Step 6: Final answer
    x = 1,303.44

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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.