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Finding the Fourth Proportional to 6,987.22, 9,642.38 and 3,843.42

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Solution

The fourth proportional to 6,987.22, 9,642.38 and 3,843.42 is: 5,303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.22 : 9,642.38 = 3,843.42 : x
  2. Step 2: Convert to fraction form
    6,987.22/9,642.38 = 3,843.42/x
  3. Step 3: Cross multiply
    6,987.22x = 9,642.38 × 3,843.42
  4. Step 4: Simplify right side
    6,987.22x = 37,059,716.14
  5. Step 5: Solve for x
    x = 37,059,716.14/6,987.22
  6. Step 6: Final answer
    x = 5,303.93

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1.5x scale

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.