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Finding the Fourth Proportional to 8,678.82, 11,976.74 and 4,699.95

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Solution

The fourth proportional to 8,678.82, 11,976.74 and 4,699.95 is: 6,485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.82 : 11,976.74 = 4,699.95 : x
  2. Step 2: Convert to fraction form
    8,678.82/11,976.74 = 4,699.95/x
  3. Step 3: Cross multiply
    8,678.82x = 11,976.74 × 4,699.95
  4. Step 4: Simplify right side
    8,678.82x = 56,290,079.16
  5. Step 5: Solve for x
    x = 56,290,079.16/8,678.82
  6. Step 6: Final answer
    x = 6,485.91

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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.