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Finding the Fourth Proportional to 8,231, 11,358.78 and 4,505

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Solution

The fourth proportional to 8,231, 11,358.78 and 4,505 is: 6,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231 : 11,358.78 = 4,505 : x
  2. Step 2: Convert to fraction form
    8,231/11,358.78 = 4,505/x
  3. Step 3: Cross multiply
    8,231x = 11,358.78 × 4,505
  4. Step 4: Simplify right side
    8,231x = 51,171,303.90
  5. Step 5: Solve for x
    x = 51,171,303.90/8,231
  6. Step 6: Final answer
    x = 6,216.90

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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.