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Finding the Fourth Proportional to 8,156.64, 12,234.84 and 3,223.50

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Solution

The fourth proportional to 8,156.64, 12,234.84 and 3,223.50 is: 4,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.64 : 12,234.84 = 3,223.50 : x
  2. Step 2: Convert to fraction form
    8,156.64/12,234.84 = 3,223.50/x
  3. Step 3: Cross multiply
    8,156.64x = 12,234.84 × 3,223.50
  4. Step 4: Simplify right side
    8,156.64x = 39,439,006.74
  5. Step 5: Solve for x
    x = 39,439,006.74/8,156.64
  6. Step 6: Final answer
    x = 4,835.20

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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.