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Finding the Fourth Proportional to 6,506.19, 8,978.99 and 3,635.15

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Solution

The fourth proportional to 6,506.19, 8,978.99 and 3,635.15 is: 5,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.19 : 8,978.99 = 3,635.15 : x
  2. Step 2: Convert to fraction form
    6,506.19/8,978.99 = 3,635.15/x
  3. Step 3: Cross multiply
    6,506.19x = 8,978.99 × 3,635.15
  4. Step 4: Simplify right side
    6,506.19x = 32,639,912.43
  5. Step 5: Solve for x
    x = 32,639,912.43/6,506.19
  6. Step 6: Final answer
    x = 5,016.75

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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.