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Finding the Fourth Proportional to 6,998.36, 9,657.69 and 5,213.84

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Solution

The fourth proportional to 6,998.36, 9,657.69 and 5,213.84 is: 7,195.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.36 : 9,657.69 = 5,213.84 : x
  2. Step 2: Convert to fraction form
    6,998.36/9,657.69 = 5,213.84/x
  3. Step 3: Cross multiply
    6,998.36x = 9,657.69 × 5,213.84
  4. Step 4: Simplify right side
    6,998.36x = 50,353,650.43
  5. Step 5: Solve for x
    x = 50,353,650.43/6,998.36
  6. Step 6: Final answer
    x = 7,195.06

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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.