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Finding the Fourth Proportional to 14,452.40, 21,669.80 and 5,676.80

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Solution

The fourth proportional to 14,452.40, 21,669.80 and 5,676.80 is: 8,511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452.40 : 21,669.80 = 5,676.80 : x
  2. Step 2: Convert to fraction form
    14,452.40/21,669.80 = 5,676.80/x
  3. Step 3: Cross multiply
    14,452.40x = 21,669.80 × 5,676.80
  4. Step 4: Simplify right side
    14,452.40x = 123,015,120.64
  5. Step 5: Solve for x
    x = 123,015,120.64/14,452.40
  6. Step 6: Final answer
    x = 8,511.74

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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.