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Finding the Fourth Proportional to 6,300.21, 9,450.78 and 1,917.68

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Solution

The fourth proportional to 6,300.21, 9,450.78 and 1,917.68 is: 2,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.21 : 9,450.78 = 1,917.68 : x
  2. Step 2: Convert to fraction form
    6,300.21/9,450.78 = 1,917.68/x
  3. Step 3: Cross multiply
    6,300.21x = 9,450.78 × 1,917.68
  4. Step 4: Simplify right side
    6,300.21x = 18,123,517.35
  5. Step 5: Solve for x
    x = 18,123,517.35/6,300.21
  6. Step 6: Final answer
    x = 2,876.65

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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.