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Finding the Fourth Proportional to 5,338.43, 8,007.65 and 1,640.69

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Solution

The fourth proportional to 5,338.43, 8,007.65 and 1,640.69 is: 2,461.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.43 : 8,007.65 = 1,640.69 : x
  2. Step 2: Convert to fraction form
    5,338.43/8,007.65 = 1,640.69/x
  3. Step 3: Cross multiply
    5,338.43x = 8,007.65 × 1,640.69
  4. Step 4: Simplify right side
    5,338.43x = 13,138,023.04
  5. Step 5: Solve for x
    x = 13,138,023.04/5,338.43
  6. Step 6: Final answer
    x = 2,461.03

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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.