Home / 1,922.02-2,882.12-1,100.07

Finding the Fourth Proportional to 1,922.02, 2,882.12 and 1,100.07

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Solution

The fourth proportional to 1,922.02, 2,882.12 and 1,100.07 is: 1,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.02 : 2,882.12 = 1,100.07 : x
  2. Step 2: Convert to fraction form
    1,922.02/2,882.12 = 1,100.07/x
  3. Step 3: Cross multiply
    1,922.02x = 2,882.12 × 1,100.07
  4. Step 4: Simplify right side
    1,922.02x = 3,170,528.25
  5. Step 5: Solve for x
    x = 3,170,528.25/1,922.02
  6. Step 6: Final answer
    x = 1,649.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.