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Finding the Fourth Proportional to 8,219.72, 12,329.48 and 7,821.27

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Solution

The fourth proportional to 8,219.72, 12,329.48 and 7,821.27 is: 11,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.72 : 12,329.48 = 7,821.27 : x
  2. Step 2: Convert to fraction form
    8,219.72/12,329.48 = 7,821.27/x
  3. Step 3: Cross multiply
    8,219.72x = 12,329.48 × 7,821.27
  4. Step 4: Simplify right side
    8,219.72x = 96,432,091.29
  5. Step 5: Solve for x
    x = 96,432,091.29/8,219.72
  6. Step 6: Final answer
    x = 11,731.80

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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.