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Finding the Fourth Proportional to 3,077.08, 4,614.69 and 855.38

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Solution

The fourth proportional to 3,077.08, 4,614.69 and 855.38 is: 1,282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.08 : 4,614.69 = 855.38 : x
  2. Step 2: Convert to fraction form
    3,077.08/4,614.69 = 855.38/x
  3. Step 3: Cross multiply
    3,077.08x = 4,614.69 × 855.38
  4. Step 4: Simplify right side
    3,077.08x = 3,947,313.53
  5. Step 5: Solve for x
    x = 3,947,313.53/3,077.08
  6. Step 6: Final answer
    x = 1,282.81

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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.