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Finding the Fourth Proportional to 8,651.91, 12,978 and 3,386.64

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Solution

The fourth proportional to 8,651.91, 12,978 and 3,386.64 is: 5,080.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.91 : 12,978 = 3,386.64 : x
  2. Step 2: Convert to fraction form
    8,651.91/12,978 = 3,386.64/x
  3. Step 3: Cross multiply
    8,651.91x = 12,978 × 3,386.64
  4. Step 4: Simplify right side
    8,651.91x = 43,951,813.92
  5. Step 5: Solve for x
    x = 43,951,813.92/8,651.91
  6. Step 6: Final answer
    x = 5,080.01

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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.