Home / 1,922.36-2,878.92-1,098.16

Finding the Fourth Proportional to 1,922.36, 2,878.92 and 1,098.16

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Solution

The fourth proportional to 1,922.36, 2,878.92 and 1,098.16 is: 1,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.36 : 2,878.92 = 1,098.16 : x
  2. Step 2: Convert to fraction form
    1,922.36/2,878.92 = 1,098.16/x
  3. Step 3: Cross multiply
    1,922.36x = 2,878.92 × 1,098.16
  4. Step 4: Simplify right side
    1,922.36x = 3,161,514.79
  5. Step 5: Solve for x
    x = 3,161,514.79/1,922.36
  6. Step 6: Final answer
    x = 1,644.60

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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.