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Finding the Fourth Proportional to 8,663.78, 11,956.03 and 5,078.03

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Solution

The fourth proportional to 8,663.78, 11,956.03 and 5,078.03 is: 7,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.78 : 11,956.03 = 5,078.03 : x
  2. Step 2: Convert to fraction form
    8,663.78/11,956.03 = 5,078.03/x
  3. Step 3: Cross multiply
    8,663.78x = 11,956.03 × 5,078.03
  4. Step 4: Simplify right side
    8,663.78x = 60,713,006.55
  5. Step 5: Solve for x
    x = 60,713,006.55/8,663.78
  6. Step 6: Final answer
    x = 7,007.68

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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.