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Finding the Fourth Proportional to 6,989.81, 9,645.94 and 3,846

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Solution

The fourth proportional to 6,989.81, 9,645.94 and 3,846 is: 5,307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.81 : 9,645.94 = 3,846 : x
  2. Step 2: Convert to fraction form
    6,989.81/9,645.94 = 3,846/x
  3. Step 3: Cross multiply
    6,989.81x = 9,645.94 × 3,846
  4. Step 4: Simplify right side
    6,989.81x = 37,098,290.05
  5. Step 5: Solve for x
    x = 37,098,290.05/6,989.81
  6. Step 6: Final answer
    x = 5,307.48

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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.