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Finding the Fourth Proportional to 8,124.90, 12,163.05 and 7,644.30

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Solution

The fourth proportional to 8,124.90, 12,163.05 and 7,644.30 is: 11,443.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.90 : 12,163.05 = 7,644.30 : x
  2. Step 2: Convert to fraction form
    8,124.90/12,163.05 = 7,644.30/x
  3. Step 3: Cross multiply
    8,124.90x = 12,163.05 × 7,644.30
  4. Step 4: Simplify right side
    8,124.90x = 92,978,003.12
  5. Step 5: Solve for x
    x = 92,978,003.12/8,124.90
  6. Step 6: Final answer
    x = 11,443.59

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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.