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Finding the Fourth Proportional to 2,626.59, 3,940.57 and 983.26

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Solution

The fourth proportional to 2,626.59, 3,940.57 and 983.26 is: 1,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.59 : 3,940.57 = 983.26 : x
  2. Step 2: Convert to fraction form
    2,626.59/3,940.57 = 983.26/x
  3. Step 3: Cross multiply
    2,626.59x = 3,940.57 × 983.26
  4. Step 4: Simplify right side
    2,626.59x = 3,874,611.01
  5. Step 5: Solve for x
    x = 3,874,611.01/2,626.59
  6. Step 6: Final answer
    x = 1,475.15

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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.