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Finding the Fourth Proportional to 6,678.78, 10,007.80 and 3,385.98

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Solution

The fourth proportional to 6,678.78, 10,007.80 and 3,385.98 is: 5,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.78 : 10,007.80 = 3,385.98 : x
  2. Step 2: Convert to fraction form
    6,678.78/10,007.80 = 3,385.98/x
  3. Step 3: Cross multiply
    6,678.78x = 10,007.80 × 3,385.98
  4. Step 4: Simplify right side
    6,678.78x = 33,886,193.08
  5. Step 5: Solve for x
    x = 33,886,193.08/6,678.78
  6. Step 6: Final answer
    x = 5,073.71

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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.