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Finding the Fourth Proportional to 8,204.49, 12,307.95 and 3,205.88

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Solution

The fourth proportional to 8,204.49, 12,307.95 and 3,205.88 is: 4,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.49 : 12,307.95 = 3,205.88 : x
  2. Step 2: Convert to fraction form
    8,204.49/12,307.95 = 3,205.88/x
  3. Step 3: Cross multiply
    8,204.49x = 12,307.95 × 3,205.88
  4. Step 4: Simplify right side
    8,204.49x = 39,457,810.75
  5. Step 5: Solve for x
    x = 39,457,810.75/8,204.49
  6. Step 6: Final answer
    x = 4,809.29

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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.