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Finding the Fourth Proportional to 9,982.80, 13,771.80 and 6,997.50

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Solution

The fourth proportional to 9,982.80, 13,771.80 and 6,997.50 is: 9,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.80 : 13,771.80 = 6,997.50 : x
  2. Step 2: Convert to fraction form
    9,982.80/13,771.80 = 6,997.50/x
  3. Step 3: Cross multiply
    9,982.80x = 13,771.80 × 6,997.50
  4. Step 4: Simplify right side
    9,982.80x = 96,368,170.50
  5. Step 5: Solve for x
    x = 96,368,170.50/9,982.80
  6. Step 6: Final answer
    x = 9,653.42

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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.