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Finding the Fourth Proportional to 2,758.91, 4,138.34 and 678.93

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Solution

The fourth proportional to 2,758.91, 4,138.34 and 678.93 is: 1,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.91 : 4,138.34 = 678.93 : x
  2. Step 2: Convert to fraction form
    2,758.91/4,138.34 = 678.93/x
  3. Step 3: Cross multiply
    2,758.91x = 4,138.34 × 678.93
  4. Step 4: Simplify right side
    2,758.91x = 2,809,651.36
  5. Step 5: Solve for x
    x = 2,809,651.36/2,758.91
  6. Step 6: Final answer
    x = 1,018.39

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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.