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Finding the Fourth Proportional to 6,388.72, 8,815.82 and 4,711.03

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Solution

The fourth proportional to 6,388.72, 8,815.82 and 4,711.03 is: 6,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.72 : 8,815.82 = 4,711.03 : x
  2. Step 2: Convert to fraction form
    6,388.72/8,815.82 = 4,711.03/x
  3. Step 3: Cross multiply
    6,388.72x = 8,815.82 × 4,711.03
  4. Step 4: Simplify right side
    6,388.72x = 41,531,592.49
  5. Step 5: Solve for x
    x = 41,531,592.49/6,388.72
  6. Step 6: Final answer
    x = 6,500.77

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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.