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Finding the Fourth Proportional to 8,653.62, 12,978.91 and 3,968.58

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Solution

The fourth proportional to 8,653.62, 12,978.91 and 3,968.58 is: 5,952.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.62 : 12,978.91 = 3,968.58 : x
  2. Step 2: Convert to fraction form
    8,653.62/12,978.91 = 3,968.58/x
  3. Step 3: Cross multiply
    8,653.62x = 12,978.91 × 3,968.58
  4. Step 4: Simplify right side
    8,653.62x = 51,507,842.65
  5. Step 5: Solve for x
    x = 51,507,842.65/8,653.62
  6. Step 6: Final answer
    x = 5,952.17

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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.