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Finding the Fourth Proportional to 2,628.44, 3,626.94 and 1,580.44

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Solution

The fourth proportional to 2,628.44, 3,626.94 and 1,580.44 is: 2,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.44 : 3,626.94 = 1,580.44 : x
  2. Step 2: Convert to fraction form
    2,628.44/3,626.94 = 1,580.44/x
  3. Step 3: Cross multiply
    2,628.44x = 3,626.94 × 1,580.44
  4. Step 4: Simplify right side
    2,628.44x = 5,732,161.05
  5. Step 5: Solve for x
    x = 5,732,161.05/2,628.44
  6. Step 6: Final answer
    x = 2,180.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.