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Finding the Fourth Proportional to 6,859, 9,467.58 and 4,375

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Solution

The fourth proportional to 6,859, 9,467.58 and 4,375 is: 6,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859 : 9,467.58 = 4,375 : x
  2. Step 2: Convert to fraction form
    6,859/9,467.58 = 4,375/x
  3. Step 3: Cross multiply
    6,859x = 9,467.58 × 4,375
  4. Step 4: Simplify right side
    6,859x = 41,420,662.50
  5. Step 5: Solve for x
    x = 41,420,662.50/6,859
  6. Step 6: Final answer
    x = 6,038.88

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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.