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Finding the Fourth Proportional to 6,640.33, 9,164.54 and 4,289.31

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Solution

The fourth proportional to 6,640.33, 9,164.54 and 4,289.31 is: 5,919.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.33 : 9,164.54 = 4,289.31 : x
  2. Step 2: Convert to fraction form
    6,640.33/9,164.54 = 4,289.31/x
  3. Step 3: Cross multiply
    6,640.33x = 9,164.54 × 4,289.31
  4. Step 4: Simplify right side
    6,640.33x = 39,309,553.07
  5. Step 5: Solve for x
    x = 39,309,553.07/6,640.33
  6. Step 6: Final answer
    x = 5,919.82

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1.5x scale

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.