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Finding the Fourth Proportional to 6,409.65, 9,615.68 and 2,027.75

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Solution

The fourth proportional to 6,409.65, 9,615.68 and 2,027.75 is: 3,042.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.65 : 9,615.68 = 2,027.75 : x
  2. Step 2: Convert to fraction form
    6,409.65/9,615.68 = 2,027.75/x
  3. Step 3: Cross multiply
    6,409.65x = 9,615.68 × 2,027.75
  4. Step 4: Simplify right side
    6,409.65x = 19,498,195.12
  5. Step 5: Solve for x
    x = 19,498,195.12/6,409.65
  6. Step 6: Final answer
    x = 3,042.01

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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.