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Finding the Fourth Proportional to 6,187.88, 9,285 and 3,967.89

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Solution

The fourth proportional to 6,187.88, 9,285 and 3,967.89 is: 5,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.88 : 9,285 = 3,967.89 : x
  2. Step 2: Convert to fraction form
    6,187.88/9,285 = 3,967.89/x
  3. Step 3: Cross multiply
    6,187.88x = 9,285 × 3,967.89
  4. Step 4: Simplify right side
    6,187.88x = 36,841,858.65
  5. Step 5: Solve for x
    x = 36,841,858.65/6,187.88
  6. Step 6: Final answer
    x = 5,953.88

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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.