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Finding the Fourth Proportional to 8,768.64, 12,096.87 and 5,229.80

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Solution

The fourth proportional to 8,768.64, 12,096.87 and 5,229.80 is: 7,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,768.64 : 12,096.87 = 5,229.80 : x
  2. Step 2: Convert to fraction form
    8,768.64/12,096.87 = 5,229.80/x
  3. Step 3: Cross multiply
    8,768.64x = 12,096.87 × 5,229.80
  4. Step 4: Simplify right side
    8,768.64x = 63,264,150.24
  5. Step 5: Solve for x
    x = 63,264,150.24/8,768.64
  6. Step 6: Final answer
    x = 7,214.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.