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Finding the Fourth Proportional to 8,211.78, 12,317.00 and 3,214.22

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Solution

The fourth proportional to 8,211.78, 12,317.00 and 3,214.22 is: 4,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.78 : 12,317.00 = 3,214.22 : x
  2. Step 2: Convert to fraction form
    8,211.78/12,317.00 = 3,214.22/x
  3. Step 3: Cross multiply
    8,211.78x = 12,317.00 × 3,214.22
  4. Step 4: Simplify right side
    8,211.78x = 39,589,470.08
  5. Step 5: Solve for x
    x = 39,589,470.08/8,211.78
  6. Step 6: Final answer
    x = 4,821.06

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1.5x scale

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.