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Finding the Fourth Proportional to 8,678.67, 11,976.54 and 4,699.78

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Solution

The fourth proportional to 8,678.67, 11,976.54 and 4,699.78 is: 6,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.67 : 11,976.54 = 4,699.78 : x
  2. Step 2: Convert to fraction form
    8,678.67/11,976.54 = 4,699.78/x
  3. Step 3: Cross multiply
    8,678.67x = 11,976.54 × 4,699.78
  4. Step 4: Simplify right side
    8,678.67x = 56,287,105.80
  5. Step 5: Solve for x
    x = 56,287,105.80/8,678.67
  6. Step 6: Final answer
    x = 6,485.68

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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.