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Finding the Fourth Proportional to 5,744.43, 8,616.42 and 1,640.43

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Solution

The fourth proportional to 5,744.43, 8,616.42 and 1,640.43 is: 2,460.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.43 : 8,616.42 = 1,640.43 : x
  2. Step 2: Convert to fraction form
    5,744.43/8,616.42 = 1,640.43/x
  3. Step 3: Cross multiply
    5,744.43x = 8,616.42 × 1,640.43
  4. Step 4: Simplify right side
    5,744.43x = 14,134,633.86
  5. Step 5: Solve for x
    x = 14,134,633.86/5,744.43
  6. Step 6: Final answer
    x = 2,460.58

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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.