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Finding the Fourth Proportional to 16,512.50, 24,770.82 and 5,420.34

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Solution

The fourth proportional to 16,512.50, 24,770.82 and 5,420.34 is: 8,131.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512.50 : 24,770.82 = 5,420.34 : x
  2. Step 2: Convert to fraction form
    16,512.50/24,770.82 = 5,420.34/x
  3. Step 3: Cross multiply
    16,512.50x = 24,770.82 × 5,420.34
  4. Step 4: Simplify right side
    16,512.50x = 134,266,266.48
  5. Step 5: Solve for x
    x = 134,266,266.48/16,512.50
  6. Step 6: Final answer
    x = 8,131.19

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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.