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Finding the Fourth Proportional to 6,388.50, 8,816.06 and 4,477

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Solution

The fourth proportional to 6,388.50, 8,816.06 and 4,477 is: 6,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.50 : 8,816.06 = 4,477 : x
  2. Step 2: Convert to fraction form
    6,388.50/8,816.06 = 4,477/x
  3. Step 3: Cross multiply
    6,388.50x = 8,816.06 × 4,477
  4. Step 4: Simplify right side
    6,388.50x = 39,469,500.62
  5. Step 5: Solve for x
    x = 39,469,500.62/6,388.50
  6. Step 6: Final answer
    x = 6,178.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.