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Finding the Fourth Proportional to 6,850.81, 10,276.87 and 1,920.43

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Solution

The fourth proportional to 6,850.81, 10,276.87 and 1,920.43 is: 2,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.81 : 10,276.87 = 1,920.43 : x
  2. Step 2: Convert to fraction form
    6,850.81/10,276.87 = 1,920.43/x
  3. Step 3: Cross multiply
    6,850.81x = 10,276.87 × 1,920.43
  4. Step 4: Simplify right side
    6,850.81x = 19,736,009.45
  5. Step 5: Solve for x
    x = 19,736,009.45/6,850.81
  6. Step 6: Final answer
    x = 2,880.83

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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.