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Finding the Fourth Proportional to 2,626.94, 3,940.41 and 652.57

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Solution

The fourth proportional to 2,626.94, 3,940.41 and 652.57 is: 978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.94 : 3,940.41 = 652.57 : x
  2. Step 2: Convert to fraction form
    2,626.94/3,940.41 = 652.57/x
  3. Step 3: Cross multiply
    2,626.94x = 3,940.41 × 652.57
  4. Step 4: Simplify right side
    2,626.94x = 2,571,373.65
  5. Step 5: Solve for x
    x = 2,571,373.65/2,626.94
  6. Step 6: Final answer
    x = 978.85

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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.