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Finding the Fourth Proportional to 7,964.96, 10,992.24 and 4,429.04

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Solution

The fourth proportional to 7,964.96, 10,992.24 and 4,429.04 is: 6,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.96 : 10,992.24 = 4,429.04 : x
  2. Step 2: Convert to fraction form
    7,964.96/10,992.24 = 4,429.04/x
  3. Step 3: Cross multiply
    7,964.96x = 10,992.24 × 4,429.04
  4. Step 4: Simplify right side
    7,964.96x = 48,685,070.65
  5. Step 5: Solve for x
    x = 48,685,070.65/7,964.96
  6. Step 6: Final answer
    x = 6,112.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.