Home / 2,698-3,723.39-1,650.13

Finding the Fourth Proportional to 2,698, 3,723.39 and 1,650.13

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Solution

The fourth proportional to 2,698, 3,723.39 and 1,650.13 is: 2,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698 : 3,723.39 = 1,650.13 : x
  2. Step 2: Convert to fraction form
    2,698/3,723.39 = 1,650.13/x
  3. Step 3: Cross multiply
    2,698x = 3,723.39 × 1,650.13
  4. Step 4: Simplify right side
    2,698x = 6,144,077.54
  5. Step 5: Solve for x
    x = 6,144,077.54/2,698
  6. Step 6: Final answer
    x = 2,277.27

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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.