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Finding the Fourth Proportional to 8,221.84, 12,313.85 and 4,927.67

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Solution

The fourth proportional to 8,221.84, 12,313.85 and 4,927.67 is: 7,380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.84 : 12,313.85 = 4,927.67 : x
  2. Step 2: Convert to fraction form
    8,221.84/12,313.85 = 4,927.67/x
  3. Step 3: Cross multiply
    8,221.84x = 12,313.85 × 4,927.67
  4. Step 4: Simplify right side
    8,221.84x = 60,678,589.23
  5. Step 5: Solve for x
    x = 60,678,589.23/8,221.84
  6. Step 6: Final answer
    x = 7,380.17

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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.