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Finding the Fourth Proportional to 6,109, 8,427.06 and 4,343.24

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Solution

The fourth proportional to 6,109, 8,427.06 and 4,343.24 is: 5,991.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109 : 8,427.06 = 4,343.24 : x
  2. Step 2: Convert to fraction form
    6,109/8,427.06 = 4,343.24/x
  3. Step 3: Cross multiply
    6,109x = 8,427.06 × 4,343.24
  4. Step 4: Simplify right side
    6,109x = 36,600,744.07
  5. Step 5: Solve for x
    x = 36,600,744.07/6,109
  6. Step 6: Final answer
    x = 5,991.28

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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.