Home / 1,926.78-2,889.90-1,102.38

Finding the Fourth Proportional to 1,926.78, 2,889.90 and 1,102.38

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Solution

The fourth proportional to 1,926.78, 2,889.90 and 1,102.38 is: 1,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.78 : 2,889.90 = 1,102.38 : x
  2. Step 2: Convert to fraction form
    1,926.78/2,889.90 = 1,102.38/x
  3. Step 3: Cross multiply
    1,926.78x = 2,889.90 × 1,102.38
  4. Step 4: Simplify right side
    1,926.78x = 3,185,767.96
  5. Step 5: Solve for x
    x = 3,185,767.96/1,926.78
  6. Step 6: Final answer
    x = 1,653.42

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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.