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Finding the Fourth Proportional to 8,380.70, 12,497.02 and 8,305.64

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Solution

The fourth proportional to 8,380.70, 12,497.02 and 8,305.64 is: 12,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.70 : 12,497.02 = 8,305.64 : x
  2. Step 2: Convert to fraction form
    8,380.70/12,497.02 = 8,305.64/x
  3. Step 3: Cross multiply
    8,380.70x = 12,497.02 × 8,305.64
  4. Step 4: Simplify right side
    8,380.70x = 103,795,749.19
  5. Step 5: Solve for x
    x = 103,795,749.19/8,380.70
  6. Step 6: Final answer
    x = 12,385.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.