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Finding the Fourth Proportional to 1,907.56, 2,859.18 and 811

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Solution

The fourth proportional to 1,907.56, 2,859.18 and 811 is: 1,215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.56 : 2,859.18 = 811 : x
  2. Step 2: Convert to fraction form
    1,907.56/2,859.18 = 811/x
  3. Step 3: Cross multiply
    1,907.56x = 2,859.18 × 811
  4. Step 4: Simplify right side
    1,907.56x = 2,318,794.98
  5. Step 5: Solve for x
    x = 2,318,794.98/1,907.56
  6. Step 6: Final answer
    x = 1,215.58

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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.