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Finding the Fourth Proportional to 7,957.63, 11,917.00 and 6,868.99

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Solution

The fourth proportional to 7,957.63, 11,917.00 and 6,868.99 is: 10,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.63 : 11,917.00 = 6,868.99 : x
  2. Step 2: Convert to fraction form
    7,957.63/11,917.00 = 6,868.99/x
  3. Step 3: Cross multiply
    7,957.63x = 11,917.00 × 6,868.99
  4. Step 4: Simplify right side
    7,957.63x = 81,857,732.62
  5. Step 5: Solve for x
    x = 81,857,732.62/7,957.63
  6. Step 6: Final answer
    x = 10,286.70

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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.