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Finding the Fourth Proportional to 6,489.16, 9,733.60 and 2,106.61

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Solution

The fourth proportional to 6,489.16, 9,733.60 and 2,106.61 is: 3,159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.16 : 9,733.60 = 2,106.61 : x
  2. Step 2: Convert to fraction form
    6,489.16/9,733.60 = 2,106.61/x
  3. Step 3: Cross multiply
    6,489.16x = 9,733.60 × 2,106.61
  4. Step 4: Simplify right side
    6,489.16x = 20,504,899.10
  5. Step 5: Solve for x
    x = 20,504,899.10/6,489.16
  6. Step 6: Final answer
    x = 3,159.87

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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.