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Finding the Fourth Proportional to 6,300, 9,450.39 and 1,917.78

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Solution

The fourth proportional to 6,300, 9,450.39 and 1,917.78 is: 2,876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300 : 9,450.39 = 1,917.78 : x
  2. Step 2: Convert to fraction form
    6,300/9,450.39 = 1,917.78/x
  3. Step 3: Cross multiply
    6,300x = 9,450.39 × 1,917.78
  4. Step 4: Simplify right side
    6,300x = 18,123,768.93
  5. Step 5: Solve for x
    x = 18,123,768.93/6,300
  6. Step 6: Final answer
    x = 2,876.79

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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.