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Finding the Fourth Proportional to 8,644.65, 12,964.09 and 3,378.30

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Solution

The fourth proportional to 8,644.65, 12,964.09 and 3,378.30 is: 5,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.65 : 12,964.09 = 3,378.30 : x
  2. Step 2: Convert to fraction form
    8,644.65/12,964.09 = 3,378.30/x
  3. Step 3: Cross multiply
    8,644.65x = 12,964.09 × 3,378.30
  4. Step 4: Simplify right side
    8,644.65x = 43,796,585.25
  5. Step 5: Solve for x
    x = 43,796,585.25/8,644.65
  6. Step 6: Final answer
    x = 5,066.32

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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.