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Finding the Fourth Proportional to 7,644.30, 11,477.39 and 5,676

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Solution

The fourth proportional to 7,644.30, 11,477.39 and 5,676 is: 8,522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.30 : 11,477.39 = 5,676 : x
  2. Step 2: Convert to fraction form
    7,644.30/11,477.39 = 5,676/x
  3. Step 3: Cross multiply
    7,644.30x = 11,477.39 × 5,676
  4. Step 4: Simplify right side
    7,644.30x = 65,145,665.64
  5. Step 5: Solve for x
    x = 65,145,665.64/7,644.30
  6. Step 6: Final answer
    x = 8,522.12

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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.