Home / 1,927.64-2,892.90-1,198.28

Finding the Fourth Proportional to 1,927.64, 2,892.90 and 1,198.28

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Solution

The fourth proportional to 1,927.64, 2,892.90 and 1,198.28 is: 1,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.64 : 2,892.90 = 1,198.28 : x
  2. Step 2: Convert to fraction form
    1,927.64/2,892.90 = 1,198.28/x
  3. Step 3: Cross multiply
    1,927.64x = 2,892.90 × 1,198.28
  4. Step 4: Simplify right side
    1,927.64x = 3,466,504.21
  5. Step 5: Solve for x
    x = 3,466,504.21/1,927.64
  6. Step 6: Final answer
    x = 1,798.32

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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.