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Finding the Fourth Proportional to 6,580.56, 9,872.64 and 5,415.96

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Solution

The fourth proportional to 6,580.56, 9,872.64 and 5,415.96 is: 8,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.56 : 9,872.64 = 5,415.96 : x
  2. Step 2: Convert to fraction form
    6,580.56/9,872.64 = 5,415.96/x
  3. Step 3: Cross multiply
    6,580.56x = 9,872.64 × 5,415.96
  4. Step 4: Simplify right side
    6,580.56x = 53,469,823.33
  5. Step 5: Solve for x
    x = 53,469,823.33/6,580.56
  6. Step 6: Final answer
    x = 8,125.42

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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.