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Finding the Fourth Proportional to 8,261, 11,400.18 and 4,949

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Solution

The fourth proportional to 8,261, 11,400.18 and 4,949 is: 6,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261 : 11,400.18 = 4,949 : x
  2. Step 2: Convert to fraction form
    8,261/11,400.18 = 4,949/x
  3. Step 3: Cross multiply
    8,261x = 11,400.18 × 4,949
  4. Step 4: Simplify right side
    8,261x = 56,419,490.82
  5. Step 5: Solve for x
    x = 56,419,490.82/8,261
  6. Step 6: Final answer
    x = 6,829.62

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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.