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Finding the Fourth Proportional to 8,213, 12,321.12 and 4,200.26

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Solution

The fourth proportional to 8,213, 12,321.12 and 4,200.26 is: 6,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213 : 12,321.12 = 4,200.26 : x
  2. Step 2: Convert to fraction form
    8,213/12,321.12 = 4,200.26/x
  3. Step 3: Cross multiply
    8,213x = 12,321.12 × 4,200.26
  4. Step 4: Simplify right side
    8,213x = 51,751,907.49
  5. Step 5: Solve for x
    x = 51,751,907.49/8,213
  6. Step 6: Final answer
    x = 6,301.22

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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.