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Finding the Fourth Proportional to 8,186.34, 12,277.08 and 2,991

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Solution

The fourth proportional to 8,186.34, 12,277.08 and 2,991 is: 4,485.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.34 : 12,277.08 = 2,991 : x
  2. Step 2: Convert to fraction form
    8,186.34/12,277.08 = 2,991/x
  3. Step 3: Cross multiply
    8,186.34x = 12,277.08 × 2,991
  4. Step 4: Simplify right side
    8,186.34x = 36,720,746.28
  5. Step 5: Solve for x
    x = 36,720,746.28/8,186.34
  6. Step 6: Final answer
    x = 4,485.61

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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.