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Finding the Fourth Proportional to 6,906, 10,358.73 and 1,975.44

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Solution

The fourth proportional to 6,906, 10,358.73 and 1,975.44 is: 2,963.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906 : 10,358.73 = 1,975.44 : x
  2. Step 2: Convert to fraction form
    6,906/10,358.73 = 1,975.44/x
  3. Step 3: Cross multiply
    6,906x = 10,358.73 × 1,975.44
  4. Step 4: Simplify right side
    6,906x = 20,463,049.59
  5. Step 5: Solve for x
    x = 20,463,049.59/6,906
  6. Step 6: Final answer
    x = 2,963.08

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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.