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Finding the Fourth Proportional to 2,756.62, 4,134.93 and 1,294.98

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Solution

The fourth proportional to 2,756.62, 4,134.93 and 1,294.98 is: 1,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.62 : 4,134.93 = 1,294.98 : x
  2. Step 2: Convert to fraction form
    2,756.62/4,134.93 = 1,294.98/x
  3. Step 3: Cross multiply
    2,756.62x = 4,134.93 × 1,294.98
  4. Step 4: Simplify right side
    2,756.62x = 5,354,651.65
  5. Step 5: Solve for x
    x = 5,354,651.65/2,756.62
  6. Step 6: Final answer
    x = 1,942.47

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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.