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Finding the Fourth Proportional to 8,206.41, 12,312.96 and 3,821.17

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Solution

The fourth proportional to 8,206.41, 12,312.96 and 3,821.17 is: 5,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.41 : 12,312.96 = 3,821.17 : x
  2. Step 2: Convert to fraction form
    8,206.41/12,312.96 = 3,821.17/x
  3. Step 3: Cross multiply
    8,206.41x = 12,312.96 × 3,821.17
  4. Step 4: Simplify right side
    8,206.41x = 47,049,894.26
  5. Step 5: Solve for x
    x = 47,049,894.26/8,206.41
  6. Step 6: Final answer
    x = 5,733.31

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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.