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Finding the Fourth Proportional to 11,241.80, 16,824.30 and 9,859.40

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Solution

The fourth proportional to 11,241.80, 16,824.30 and 9,859.40 is: 14,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241.80 : 16,824.30 = 9,859.40 : x
  2. Step 2: Convert to fraction form
    11,241.80/16,824.30 = 9,859.40/x
  3. Step 3: Cross multiply
    11,241.80x = 16,824.30 × 9,859.40
  4. Step 4: Simplify right side
    11,241.80x = 165,877,503.42
  5. Step 5: Solve for x
    x = 165,877,503.42/11,241.80
  6. Step 6: Final answer
    x = 14,755.42

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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.