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Finding the Fourth Proportional to 6,489.77, 9,733.74 and 2,107.28

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Solution

The fourth proportional to 6,489.77, 9,733.74 and 2,107.28 is: 3,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.77 : 9,733.74 = 2,107.28 : x
  2. Step 2: Convert to fraction form
    6,489.77/9,733.74 = 2,107.28/x
  3. Step 3: Cross multiply
    6,489.77x = 9,733.74 × 2,107.28
  4. Step 4: Simplify right side
    6,489.77x = 20,511,715.63
  5. Step 5: Solve for x
    x = 20,511,715.63/6,489.77
  6. Step 6: Final answer
    x = 3,160.62

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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.