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Finding the Fourth Proportional to 8,664, 11,966.04 and 5,864.64

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Solution

The fourth proportional to 8,664, 11,966.04 and 5,864.64 is: 8,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664 : 11,966.04 = 5,864.64 : x
  2. Step 2: Convert to fraction form
    8,664/11,966.04 = 5,864.64/x
  3. Step 3: Cross multiply
    8,664x = 11,966.04 × 5,864.64
  4. Step 4: Simplify right side
    8,664x = 70,176,516.83
  5. Step 5: Solve for x
    x = 70,176,516.83/8,664
  6. Step 6: Final answer
    x = 8,099.78

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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.