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Finding the Fourth Proportional to 6,963.19, 9,609.81 and 3,819.98

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Solution

The fourth proportional to 6,963.19, 9,609.81 and 3,819.98 is: 5,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.19 : 9,609.81 = 3,819.98 : x
  2. Step 2: Convert to fraction form
    6,963.19/9,609.81 = 3,819.98/x
  3. Step 3: Cross multiply
    6,963.19x = 9,609.81 × 3,819.98
  4. Step 4: Simplify right side
    6,963.19x = 36,709,291.70
  5. Step 5: Solve for x
    x = 36,709,291.70/6,963.19
  6. Step 6: Final answer
    x = 5,271.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.