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Finding the Fourth Proportional to 8,678.75, 11,976.69 and 4,699.87

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Solution

The fourth proportional to 8,678.75, 11,976.69 and 4,699.87 is: 6,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.75 : 11,976.69 = 4,699.87 : x
  2. Step 2: Convert to fraction form
    8,678.75/11,976.69 = 4,699.87/x
  3. Step 3: Cross multiply
    8,678.75x = 11,976.69 × 4,699.87
  4. Step 4: Simplify right side
    8,678.75x = 56,288,901.00
  5. Step 5: Solve for x
    x = 56,288,901.00/8,678.75
  6. Step 6: Final answer
    x = 6,485.83

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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.