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Finding the Fourth Proportional to 11,179.50, 16,770.47 and 4,254

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Solution

The fourth proportional to 11,179.50, 16,770.47 and 4,254 is: 6,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,179.50 : 16,770.47 = 4,254 : x
  2. Step 2: Convert to fraction form
    11,179.50/16,770.47 = 4,254/x
  3. Step 3: Cross multiply
    11,179.50x = 16,770.47 × 4,254
  4. Step 4: Simplify right side
    11,179.50x = 71,341,558.11
  5. Step 5: Solve for x
    x = 71,341,558.11/11,179.50
  6. Step 6: Final answer
    x = 6,381.46

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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.