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Finding the Fourth Proportional to 8,721, 13,082.94 and 2,566.44

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Solution

The fourth proportional to 8,721, 13,082.94 and 2,566.44 is: 3,850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721 : 13,082.94 = 2,566.44 : x
  2. Step 2: Convert to fraction form
    8,721/13,082.94 = 2,566.44/x
  3. Step 3: Cross multiply
    8,721x = 13,082.94 × 2,566.44
  4. Step 4: Simplify right side
    8,721x = 33,576,580.53
  5. Step 5: Solve for x
    x = 33,576,580.53/8,721
  6. Step 6: Final answer
    x = 3,850.08

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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.