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Finding the Fourth Proportional to 8,188.78, 12,279.50 and 2,991

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Solution

The fourth proportional to 8,188.78, 12,279.50 and 2,991 is: 4,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.78 : 12,279.50 = 2,991 : x
  2. Step 2: Convert to fraction form
    8,188.78/12,279.50 = 2,991/x
  3. Step 3: Cross multiply
    8,188.78x = 12,279.50 × 2,991
  4. Step 4: Simplify right side
    8,188.78x = 36,727,984.50
  5. Step 5: Solve for x
    x = 36,727,984.50/8,188.78
  6. Step 6: Final answer
    x = 4,485.16

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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.