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Finding the Fourth Proportional to 6,198.68, 9,291.54 and 2,909

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Solution

The fourth proportional to 6,198.68, 9,291.54 and 2,909 is: 4,360.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.68 : 9,291.54 = 2,909 : x
  2. Step 2: Convert to fraction form
    6,198.68/9,291.54 = 2,909/x
  3. Step 3: Cross multiply
    6,198.68x = 9,291.54 × 2,909
  4. Step 4: Simplify right side
    6,198.68x = 27,029,089.86
  5. Step 5: Solve for x
    x = 27,029,089.86/6,198.68
  6. Step 6: Final answer
    x = 4,360.46

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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.