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Finding the Fourth Proportional to 8,300.50, 12,446.68 and 3,624.46

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Solution

The fourth proportional to 8,300.50, 12,446.68 and 3,624.46 is: 5,434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.50 : 12,446.68 = 3,624.46 : x
  2. Step 2: Convert to fraction form
    8,300.50/12,446.68 = 3,624.46/x
  3. Step 3: Cross multiply
    8,300.50x = 12,446.68 × 3,624.46
  4. Step 4: Simplify right side
    8,300.50x = 45,112,493.79
  5. Step 5: Solve for x
    x = 45,112,493.79/8,300.50
  6. Step 6: Final answer
    x = 5,434.91

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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.