Home / 2,975.97-4,106.55-1,649.64

Finding the Fourth Proportional to 2,975.97, 4,106.55 and 1,649.64

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Solution

The fourth proportional to 2,975.97, 4,106.55 and 1,649.64 is: 2,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.97 : 4,106.55 = 1,649.64 : x
  2. Step 2: Convert to fraction form
    2,975.97/4,106.55 = 1,649.64/x
  3. Step 3: Cross multiply
    2,975.97x = 4,106.55 × 1,649.64
  4. Step 4: Simplify right side
    2,975.97x = 6,774,329.14
  5. Step 5: Solve for x
    x = 6,774,329.14/2,975.97
  6. Step 6: Final answer
    x = 2,276.34

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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.