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Finding the Fourth Proportional to 6,480.42, 9,722.17 and 2,097.88

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Solution

The fourth proportional to 6,480.42, 9,722.17 and 2,097.88 is: 3,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.42 : 9,722.17 = 2,097.88 : x
  2. Step 2: Convert to fraction form
    6,480.42/9,722.17 = 2,097.88/x
  3. Step 3: Cross multiply
    6,480.42x = 9,722.17 × 2,097.88
  4. Step 4: Simplify right side
    6,480.42x = 20,395,897.39
  5. Step 5: Solve for x
    x = 20,395,897.39/6,480.42
  6. Step 6: Final answer
    x = 3,147.31

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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.