Home / 2,975.49-4,106.12-1,649.18

Finding the Fourth Proportional to 2,975.49, 4,106.12 and 1,649.18

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Solution

The fourth proportional to 2,975.49, 4,106.12 and 1,649.18 is: 2,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.49 : 4,106.12 = 1,649.18 : x
  2. Step 2: Convert to fraction form
    2,975.49/4,106.12 = 1,649.18/x
  3. Step 3: Cross multiply
    2,975.49x = 4,106.12 × 1,649.18
  4. Step 4: Simplify right side
    2,975.49x = 6,771,733.00
  5. Step 5: Solve for x
    x = 6,771,733.00/2,975.49
  6. Step 6: Final answer
    x = 2,275.84

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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.