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Finding the Fourth Proportional to 7,982.82, 11,978.64 and 3,053.16

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Solution

The fourth proportional to 7,982.82, 11,978.64 and 3,053.16 is: 4,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.82 : 11,978.64 = 3,053.16 : x
  2. Step 2: Convert to fraction form
    7,982.82/11,978.64 = 3,053.16/x
  3. Step 3: Cross multiply
    7,982.82x = 11,978.64 × 3,053.16
  4. Step 4: Simplify right side
    7,982.82x = 36,572,704.50
  5. Step 5: Solve for x
    x = 36,572,704.50/7,982.82
  6. Step 6: Final answer
    x = 4,581.43

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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.