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Finding the Fourth Proportional to 6,499.28, 8,969 and 3,515.11

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Solution

The fourth proportional to 6,499.28, 8,969 and 3,515.11 is: 4,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.28 : 8,969 = 3,515.11 : x
  2. Step 2: Convert to fraction form
    6,499.28/8,969 = 3,515.11/x
  3. Step 3: Cross multiply
    6,499.28x = 8,969 × 3,515.11
  4. Step 4: Simplify right side
    6,499.28x = 31,527,021.59
  5. Step 5: Solve for x
    x = 31,527,021.59/6,499.28
  6. Step 6: Final answer
    x = 4,850.85

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Why These Related Problems?

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