Home / 3,106.78-4,660.62-1,026.07

Finding the Fourth Proportional to 3,106.78, 4,660.62 and 1,026.07

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Solution

The fourth proportional to 3,106.78, 4,660.62 and 1,026.07 is: 1,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.78 : 4,660.62 = 1,026.07 : x
  2. Step 2: Convert to fraction form
    3,106.78/4,660.62 = 1,026.07/x
  3. Step 3: Cross multiply
    3,106.78x = 4,660.62 × 1,026.07
  4. Step 4: Simplify right side
    3,106.78x = 4,782,122.36
  5. Step 5: Solve for x
    x = 4,782,122.36/3,106.78
  6. Step 6: Final answer
    x = 1,539.25

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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.