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Finding the Fourth Proportional to 5,644, 7,786.27 and 3,404.64

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Solution

The fourth proportional to 5,644, 7,786.27 and 3,404.64 is: 4,696.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644 : 7,786.27 = 3,404.64 : x
  2. Step 2: Convert to fraction form
    5,644/7,786.27 = 3,404.64/x
  3. Step 3: Cross multiply
    5,644x = 7,786.27 × 3,404.64
  4. Step 4: Simplify right side
    5,644x = 26,509,446.29
  5. Step 5: Solve for x
    x = 26,509,446.29/5,644
  6. Step 6: Final answer
    x = 4,696.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.