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Finding the Fourth Proportional to 5,310.82, 7,966.24 and 1,415.22

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Solution

The fourth proportional to 5,310.82, 7,966.24 and 1,415.22 is: 2,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.82 : 7,966.24 = 1,415.22 : x
  2. Step 2: Convert to fraction form
    5,310.82/7,966.24 = 1,415.22/x
  3. Step 3: Cross multiply
    5,310.82x = 7,966.24 × 1,415.22
  4. Step 4: Simplify right side
    5,310.82x = 11,273,982.17
  5. Step 5: Solve for x
    x = 11,273,982.17/5,310.82
  6. Step 6: Final answer
    x = 2,122.83

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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.