Home / 2,975.21-4,106.01-1,649.03

Finding the Fourth Proportional to 2,975.21, 4,106.01 and 1,649.03

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Solution

The fourth proportional to 2,975.21, 4,106.01 and 1,649.03 is: 2,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.21 : 4,106.01 = 1,649.03 : x
  2. Step 2: Convert to fraction form
    2,975.21/4,106.01 = 1,649.03/x
  3. Step 3: Cross multiply
    2,975.21x = 4,106.01 × 1,649.03
  4. Step 4: Simplify right side
    2,975.21x = 6,770,933.67
  5. Step 5: Solve for x
    x = 6,770,933.67/2,975.21
  6. Step 6: Final answer
    x = 2,275.78

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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.