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Finding the Fourth Proportional to 4,288.43, 6,404 and 3,665.63

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Solution

The fourth proportional to 4,288.43, 6,404 and 3,665.63 is: 5,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.43 : 6,404 = 3,665.63 : x
  2. Step 2: Convert to fraction form
    4,288.43/6,404 = 3,665.63/x
  3. Step 3: Cross multiply
    4,288.43x = 6,404 × 3,665.63
  4. Step 4: Simplify right side
    4,288.43x = 23,474,694.52
  5. Step 5: Solve for x
    x = 23,474,694.52/4,288.43
  6. Step 6: Final answer
    x = 5,473.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.