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Finding the Fourth Proportional to 6,489.63, 9,733.41 and 2,106.09

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Solution

The fourth proportional to 6,489.63, 9,733.41 and 2,106.09 is: 3,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.63 : 9,733.41 = 2,106.09 : x
  2. Step 2: Convert to fraction form
    6,489.63/9,733.41 = 2,106.09/x
  3. Step 3: Cross multiply
    6,489.63x = 9,733.41 × 2,106.09
  4. Step 4: Simplify right side
    6,489.63x = 20,499,437.47
  5. Step 5: Solve for x
    x = 20,499,437.47/6,489.63
  6. Step 6: Final answer
    x = 3,158.80

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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.