Home / 2,738.78-4,107.77-1,007

Finding the Fourth Proportional to 2,738.78, 4,107.77 and 1,007

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Solution

The fourth proportional to 2,738.78, 4,107.77 and 1,007 is: 1,510.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.78 : 4,107.77 = 1,007 : x
  2. Step 2: Convert to fraction form
    2,738.78/4,107.77 = 1,007/x
  3. Step 3: Cross multiply
    2,738.78x = 4,107.77 × 1,007
  4. Step 4: Simplify right side
    2,738.78x = 4,136,519.36
  5. Step 5: Solve for x
    x = 4,136,519.36/2,738.78
  6. Step 6: Final answer
    x = 1,510.35

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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.