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Finding the Fourth Proportional to 2,622.84, 3,934.26 and 868.02

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Solution

The fourth proportional to 2,622.84, 3,934.26 and 868.02 is: 1,302.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.84 : 3,934.26 = 868.02 : x
  2. Step 2: Convert to fraction form
    2,622.84/3,934.26 = 868.02/x
  3. Step 3: Cross multiply
    2,622.84x = 3,934.26 × 868.02
  4. Step 4: Simplify right side
    2,622.84x = 3,415,016.37
  5. Step 5: Solve for x
    x = 3,415,016.37/2,622.84
  6. Step 6: Final answer
    x = 1,302.03

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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.