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Finding the Fourth Proportional to 1,653.82, 2,479.78 and 1,278.44

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Solution

The fourth proportional to 1,653.82, 2,479.78 and 1,278.44 is: 1,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.82 : 2,479.78 = 1,278.44 : x
  2. Step 2: Convert to fraction form
    1,653.82/2,479.78 = 1,278.44/x
  3. Step 3: Cross multiply
    1,653.82x = 2,479.78 × 1,278.44
  4. Step 4: Simplify right side
    1,653.82x = 3,170,237.54
  5. Step 5: Solve for x
    x = 3,170,237.54/1,653.82
  6. Step 6: Final answer
    x = 1,916.92

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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.