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Finding the Fourth Proportional to 6,987.04, 9,645 and 4,192

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Solution

The fourth proportional to 6,987.04, 9,645 and 4,192 is: 5,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.04 : 9,645 = 4,192 : x
  2. Step 2: Convert to fraction form
    6,987.04/9,645 = 4,192/x
  3. Step 3: Cross multiply
    6,987.04x = 9,645 × 4,192
  4. Step 4: Simplify right side
    6,987.04x = 40,431,840
  5. Step 5: Solve for x
    x = 40,431,840/6,987.04
  6. Step 6: Final answer
    x = 5,786.69

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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.