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Finding the Fourth Proportional to 7,086, 10,633.32 and 2,982

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Solution

The fourth proportional to 7,086, 10,633.32 and 2,982 is: 4,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086 : 10,633.32 = 2,982 : x
  2. Step 2: Convert to fraction form
    7,086/10,633.32 = 2,982/x
  3. Step 3: Cross multiply
    7,086x = 10,633.32 × 2,982
  4. Step 4: Simplify right side
    7,086x = 31,708,560.24
  5. Step 5: Solve for x
    x = 31,708,560.24/7,086
  6. Step 6: Final answer
    x = 4,474.82

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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.