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Finding the Fourth Proportional to 6,617.93, 9,897.73 and 3,837.40

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Solution

The fourth proportional to 6,617.93, 9,897.73 and 3,837.40 is: 5,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.93 : 9,897.73 = 3,837.40 : x
  2. Step 2: Convert to fraction form
    6,617.93/9,897.73 = 3,837.40/x
  3. Step 3: Cross multiply
    6,617.93x = 9,897.73 × 3,837.40
  4. Step 4: Simplify right side
    6,617.93x = 37,981,514.76
  5. Step 5: Solve for x
    x = 37,981,514.76/6,617.93
  6. Step 6: Final answer
    x = 5,739.19

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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.