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Finding the Fourth Proportional to 8,321.44, 12,484.44 and 4,156.42

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Solution

The fourth proportional to 8,321.44, 12,484.44 and 4,156.42 is: 6,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.44 : 12,484.44 = 4,156.42 : x
  2. Step 2: Convert to fraction form
    8,321.44/12,484.44 = 4,156.42/x
  3. Step 3: Cross multiply
    8,321.44x = 12,484.44 × 4,156.42
  4. Step 4: Simplify right side
    8,321.44x = 51,890,576.10
  5. Step 5: Solve for x
    x = 51,890,576.10/8,321.44
  6. Step 6: Final answer
    x = 6,235.77

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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.