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Finding the Fourth Proportional to 8,321.54, 12,474.20 and 6,764.72

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Solution

The fourth proportional to 8,321.54, 12,474.20 and 6,764.72 is: 10,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.54 : 12,474.20 = 6,764.72 : x
  2. Step 2: Convert to fraction form
    8,321.54/12,474.20 = 6,764.72/x
  3. Step 3: Cross multiply
    8,321.54x = 12,474.20 × 6,764.72
  4. Step 4: Simplify right side
    8,321.54x = 84,384,424.76
  5. Step 5: Solve for x
    x = 84,384,424.76/8,321.54
  6. Step 6: Final answer
    x = 10,140.49

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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.