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Finding the Fourth Proportional to 11,491.18, 17,241.12 and 7,827.96

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Solution

The fourth proportional to 11,491.18, 17,241.12 and 7,827.96 is: 11,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.18 : 17,241.12 = 7,827.96 : x
  2. Step 2: Convert to fraction form
    11,491.18/17,241.12 = 7,827.96/x
  3. Step 3: Cross multiply
    11,491.18x = 17,241.12 × 7,827.96
  4. Step 4: Simplify right side
    11,491.18x = 134,962,797.72
  5. Step 5: Solve for x
    x = 134,962,797.72/11,491.18
  6. Step 6: Final answer
    x = 11,744.90

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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.