Home / 1,922.19-2,883.15-1,097.88

Finding the Fourth Proportional to 1,922.19, 2,883.15 and 1,097.88

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Solution

The fourth proportional to 1,922.19, 2,883.15 and 1,097.88 is: 1,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.19 : 2,883.15 = 1,097.88 : x
  2. Step 2: Convert to fraction form
    1,922.19/2,883.15 = 1,097.88/x
  3. Step 3: Cross multiply
    1,922.19x = 2,883.15 × 1,097.88
  4. Step 4: Simplify right side
    1,922.19x = 3,165,352.72
  5. Step 5: Solve for x
    x = 3,165,352.72/1,922.19
  6. Step 6: Final answer
    x = 1,646.74

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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.