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Finding the Fourth Proportional to 6,489.38, 8,949.92 and 4,001.06

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Solution

The fourth proportional to 6,489.38, 8,949.92 and 4,001.06 is: 5,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.38 : 8,949.92 = 4,001.06 : x
  2. Step 2: Convert to fraction form
    6,489.38/8,949.92 = 4,001.06/x
  3. Step 3: Cross multiply
    6,489.38x = 8,949.92 × 4,001.06
  4. Step 4: Simplify right side
    6,489.38x = 35,809,166.92
  5. Step 5: Solve for x
    x = 35,809,166.92/6,489.38
  6. Step 6: Final answer
    x = 5,518.12

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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.