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Finding the Fourth Proportional to 6,561.91, 9,844.53 and 2,179.39

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Solution

The fourth proportional to 6,561.91, 9,844.53 and 2,179.39 is: 3,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.91 : 9,844.53 = 2,179.39 : x
  2. Step 2: Convert to fraction form
    6,561.91/9,844.53 = 2,179.39/x
  3. Step 3: Cross multiply
    6,561.91x = 9,844.53 × 2,179.39
  4. Step 4: Simplify right side
    6,561.91x = 21,455,070.24
  5. Step 5: Solve for x
    x = 21,455,070.24/6,561.91
  6. Step 6: Final answer
    x = 3,269.64

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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.