Home / 2,975.35-4,106.24-1,649.47

Finding the Fourth Proportional to 2,975.35, 4,106.24 and 1,649.47

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Solution

The fourth proportional to 2,975.35, 4,106.24 and 1,649.47 is: 2,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.35 : 4,106.24 = 1,649.47 : x
  2. Step 2: Convert to fraction form
    2,975.35/4,106.24 = 1,649.47/x
  3. Step 3: Cross multiply
    2,975.35x = 4,106.24 × 1,649.47
  4. Step 4: Simplify right side
    2,975.35x = 6,773,119.69
  5. Step 5: Solve for x
    x = 6,773,119.69/2,975.35
  6. Step 6: Final answer
    x = 2,276.41

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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.