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Finding the Fourth Proportional to 6,327.68, 9,491.52 and 1,945.08

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Solution

The fourth proportional to 6,327.68, 9,491.52 and 1,945.08 is: 2,917.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.68 : 9,491.52 = 1,945.08 : x
  2. Step 2: Convert to fraction form
    6,327.68/9,491.52 = 1,945.08/x
  3. Step 3: Cross multiply
    6,327.68x = 9,491.52 × 1,945.08
  4. Step 4: Simplify right side
    6,327.68x = 18,461,765.72
  5. Step 5: Solve for x
    x = 18,461,765.72/6,327.68
  6. Step 6: Final answer
    x = 2,917.62

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Similar ratio
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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.