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Finding the Fourth Proportional to 6,415.92, 9,621.99 and 2,255.15

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Solution

The fourth proportional to 6,415.92, 9,621.99 and 2,255.15 is: 3,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.92 : 9,621.99 = 2,255.15 : x
  2. Step 2: Convert to fraction form
    6,415.92/9,621.99 = 2,255.15/x
  3. Step 3: Cross multiply
    6,415.92x = 9,621.99 × 2,255.15
  4. Step 4: Simplify right side
    6,415.92x = 21,699,054.80
  5. Step 5: Solve for x
    x = 21,699,054.80/6,415.92
  6. Step 6: Final answer
    x = 3,382.06

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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.