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Finding the Fourth Proportional to 8,464.14, 12,689.91 and 2,914.02

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Solution

The fourth proportional to 8,464.14, 12,689.91 and 2,914.02 is: 4,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.14 : 12,689.91 = 2,914.02 : x
  2. Step 2: Convert to fraction form
    8,464.14/12,689.91 = 2,914.02/x
  3. Step 3: Cross multiply
    8,464.14x = 12,689.91 × 2,914.02
  4. Step 4: Simplify right side
    8,464.14x = 36,978,651.54
  5. Step 5: Solve for x
    x = 36,978,651.54/8,464.14
  6. Step 6: Final answer
    x = 4,368.86

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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.