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Finding the Fourth Proportional to 8,234.16, 12,339.44 and 7,790.64

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Solution

The fourth proportional to 8,234.16, 12,339.44 and 7,790.64 is: 11,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.16 : 12,339.44 = 7,790.64 : x
  2. Step 2: Convert to fraction form
    8,234.16/12,339.44 = 7,790.64/x
  3. Step 3: Cross multiply
    8,234.16x = 12,339.44 × 7,790.64
  4. Step 4: Simplify right side
    8,234.16x = 96,132,134.84
  5. Step 5: Solve for x
    x = 96,132,134.84/8,234.16
  6. Step 6: Final answer
    x = 11,674.80

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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.