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Finding the Fourth Proportional to 6,387.96, 9,586.30 and 2,491.96

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Solution

The fourth proportional to 6,387.96, 9,586.30 and 2,491.96 is: 3,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.96 : 9,586.30 = 2,491.96 : x
  2. Step 2: Convert to fraction form
    6,387.96/9,586.30 = 2,491.96/x
  3. Step 3: Cross multiply
    6,387.96x = 9,586.30 × 2,491.96
  4. Step 4: Simplify right side
    6,387.96x = 23,888,676.15
  5. Step 5: Solve for x
    x = 23,888,676.15/6,387.96
  6. Step 6: Final answer
    x = 3,739.64

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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.