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Finding the Fourth Proportional to 8,219, 11,343.18 and 4,907

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Solution

The fourth proportional to 8,219, 11,343.18 and 4,907 is: 6,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219 : 11,343.18 = 4,907 : x
  2. Step 2: Convert to fraction form
    8,219/11,343.18 = 4,907/x
  3. Step 3: Cross multiply
    8,219x = 11,343.18 × 4,907
  4. Step 4: Simplify right side
    8,219x = 55,660,984.26
  5. Step 5: Solve for x
    x = 55,660,984.26/8,219
  6. Step 6: Final answer
    x = 6,772.23

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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.