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Finding the Fourth Proportional to 6,418.65, 9,615.42 and 5,722.05

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Solution

The fourth proportional to 6,418.65, 9,615.42 and 5,722.05 is: 8,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.65 : 9,615.42 = 5,722.05 : x
  2. Step 2: Convert to fraction form
    6,418.65/9,615.42 = 5,722.05/x
  3. Step 3: Cross multiply
    6,418.65x = 9,615.42 × 5,722.05
  4. Step 4: Simplify right side
    6,418.65x = 55,019,914.01
  5. Step 5: Solve for x
    x = 55,019,914.01/6,418.65
  6. Step 6: Final answer
    x = 8,571.88

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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.