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Finding the Fourth Proportional to 4,678.96, 7,003.84 and 3,979.12

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Solution

The fourth proportional to 4,678.96, 7,003.84 and 3,979.12 is: 5,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.96 : 7,003.84 = 3,979.12 : x
  2. Step 2: Convert to fraction form
    4,678.96/7,003.84 = 3,979.12/x
  3. Step 3: Cross multiply
    4,678.96x = 7,003.84 × 3,979.12
  4. Step 4: Simplify right side
    4,678.96x = 27,869,119.82
  5. Step 5: Solve for x
    x = 27,869,119.82/4,678.96
  6. Step 6: Final answer
    x = 5,956.26

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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.