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Finding the Fourth Proportional to 2,678.94, 4,019.28 and 1,690.62

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Solution

The fourth proportional to 2,678.94, 4,019.28 and 1,690.62 is: 2,536.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.94 : 4,019.28 = 1,690.62 : x
  2. Step 2: Convert to fraction form
    2,678.94/4,019.28 = 1,690.62/x
  3. Step 3: Cross multiply
    2,678.94x = 4,019.28 × 1,690.62
  4. Step 4: Simplify right side
    2,678.94x = 6,795,075.15
  5. Step 5: Solve for x
    x = 6,795,075.15/2,678.94
  6. Step 6: Final answer
    x = 2,536.48

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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.