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Finding the Fourth Proportional to 6,859, 10,286.94 and 1,929.12

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Solution

The fourth proportional to 6,859, 10,286.94 and 1,929.12 is: 2,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859 : 10,286.94 = 1,929.12 : x
  2. Step 2: Convert to fraction form
    6,859/10,286.94 = 1,929.12/x
  3. Step 3: Cross multiply
    6,859x = 10,286.94 × 1,929.12
  4. Step 4: Simplify right side
    6,859x = 19,844,741.69
  5. Step 5: Solve for x
    x = 19,844,741.69/6,859
  6. Step 6: Final answer
    x = 2,893.24

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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.