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Finding the Fourth Proportional to 8,261, 12,391.50 and 5,185.16

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Solution

The fourth proportional to 8,261, 12,391.50 and 5,185.16 is: 7,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261 : 12,391.50 = 5,185.16 : x
  2. Step 2: Convert to fraction form
    8,261/12,391.50 = 5,185.16/x
  3. Step 3: Cross multiply
    8,261x = 12,391.50 × 5,185.16
  4. Step 4: Simplify right side
    8,261x = 64,251,910.14
  5. Step 5: Solve for x
    x = 64,251,910.14/8,261
  6. Step 6: Final answer
    x = 7,777.74

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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.