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Finding the Fourth Proportional to 6,991.50, 10,461.08 and 4,170.02

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Solution

The fourth proportional to 6,991.50, 10,461.08 and 4,170.02 is: 6,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.50 : 10,461.08 = 4,170.02 : x
  2. Step 2: Convert to fraction form
    6,991.50/10,461.08 = 4,170.02/x
  3. Step 3: Cross multiply
    6,991.50x = 10,461.08 × 4,170.02
  4. Step 4: Simplify right side
    6,991.50x = 43,622,912.82
  5. Step 5: Solve for x
    x = 43,622,912.82/6,991.50
  6. Step 6: Final answer
    x = 6,239.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.