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Finding the Fourth Proportional to 6,489.46, 9,733.13 and 1,809.79

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Solution

The fourth proportional to 6,489.46, 9,733.13 and 1,809.79 is: 2,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.46 : 9,733.13 = 1,809.79 : x
  2. Step 2: Convert to fraction form
    6,489.46/9,733.13 = 1,809.79/x
  3. Step 3: Cross multiply
    6,489.46x = 9,733.13 × 1,809.79
  4. Step 4: Simplify right side
    6,489.46x = 17,614,887.96
  5. Step 5: Solve for x
    x = 17,614,887.96/6,489.46
  6. Step 6: Final answer
    x = 2,714.39

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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.