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Finding the Fourth Proportional to 6,499.28, 8,969.52 and 3,704.72

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Solution

The fourth proportional to 6,499.28, 8,969.52 and 3,704.72 is: 5,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.28 : 8,969.52 = 3,704.72 : x
  2. Step 2: Convert to fraction form
    6,499.28/8,969.52 = 3,704.72/x
  3. Step 3: Cross multiply
    6,499.28x = 8,969.52 × 3,704.72
  4. Step 4: Simplify right side
    6,499.28x = 33,229,560.13
  5. Step 5: Solve for x
    x = 33,229,560.13/6,499.28
  6. Step 6: Final answer
    x = 5,112.81

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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.