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Finding the Fourth Proportional to 6,982.88, 9,636.62 and 3,998.64

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Solution

The fourth proportional to 6,982.88, 9,636.62 and 3,998.64 is: 5,518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.88 : 9,636.62 = 3,998.64 : x
  2. Step 2: Convert to fraction form
    6,982.88/9,636.62 = 3,998.64/x
  3. Step 3: Cross multiply
    6,982.88x = 9,636.62 × 3,998.64
  4. Step 4: Simplify right side
    6,982.88x = 38,533,374.20
  5. Step 5: Solve for x
    x = 38,533,374.20/6,982.88
  6. Step 6: Final answer
    x = 5,518.26

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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.