Home / 2,107.24-2,907.88-1,223

Finding the Fourth Proportional to 2,107.24, 2,907.88 and 1,223

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Solution

The fourth proportional to 2,107.24, 2,907.88 and 1,223 is: 1,687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.24 : 2,907.88 = 1,223 : x
  2. Step 2: Convert to fraction form
    2,107.24/2,907.88 = 1,223/x
  3. Step 3: Cross multiply
    2,107.24x = 2,907.88 × 1,223
  4. Step 4: Simplify right side
    2,107.24x = 3,556,337.24
  5. Step 5: Solve for x
    x = 3,556,337.24/2,107.24
  6. Step 6: Final answer
    x = 1,687.68

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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.