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Finding the Fourth Proportional to 6,412.44, 9,617.72 and 3,945.99

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Solution

The fourth proportional to 6,412.44, 9,617.72 and 3,945.99 is: 5,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.44 : 9,617.72 = 3,945.99 : x
  2. Step 2: Convert to fraction form
    6,412.44/9,617.72 = 3,945.99/x
  3. Step 3: Cross multiply
    6,412.44x = 9,617.72 × 3,945.99
  4. Step 4: Simplify right side
    6,412.44x = 37,951,407.21
  5. Step 5: Solve for x
    x = 37,951,407.21/6,412.44
  6. Step 6: Final answer
    x = 5,918.40

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1.5x scale

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.