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Finding the Fourth Proportional to 8,216.64, 12,324.96 and 7,503.84

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Solution

The fourth proportional to 8,216.64, 12,324.96 and 7,503.84 is: 11,255.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.64 : 12,324.96 = 7,503.84 : x
  2. Step 2: Convert to fraction form
    8,216.64/12,324.96 = 7,503.84/x
  3. Step 3: Cross multiply
    8,216.64x = 12,324.96 × 7,503.84
  4. Step 4: Simplify right side
    8,216.64x = 92,484,527.85
  5. Step 5: Solve for x
    x = 92,484,527.85/8,216.64
  6. Step 6: Final answer
    x = 11,255.76

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Similar ratio
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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.