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Finding the Fourth Proportional to 8,220, 12,331.83 and 2,376.17

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Solution

The fourth proportional to 8,220, 12,331.83 and 2,376.17 is: 3,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220 : 12,331.83 = 2,376.17 : x
  2. Step 2: Convert to fraction form
    8,220/12,331.83 = 2,376.17/x
  3. Step 3: Cross multiply
    8,220x = 12,331.83 × 2,376.17
  4. Step 4: Simplify right side
    8,220x = 29,302,524.49
  5. Step 5: Solve for x
    x = 29,302,524.49/8,220
  6. Step 6: Final answer
    x = 3,564.78

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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.