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Finding the Fourth Proportional to 8,224.12, 12,311.88 and 7,762.42

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Solution

The fourth proportional to 8,224.12, 12,311.88 and 7,762.42 is: 11,620.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.12 : 12,311.88 = 7,762.42 : x
  2. Step 2: Convert to fraction form
    8,224.12/12,311.88 = 7,762.42/x
  3. Step 3: Cross multiply
    8,224.12x = 12,311.88 × 7,762.42
  4. Step 4: Simplify right side
    8,224.12x = 95,569,983.55
  5. Step 5: Solve for x
    x = 95,569,983.55/8,224.12
  6. Step 6: Final answer
    x = 11,620.69

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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.