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Finding the Fourth Proportional to 28,447.63, 42,676.50 and 9,729.75

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Solution

The fourth proportional to 28,447.63, 42,676.50 and 9,729.75 is: 14,596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,447.63 : 42,676.50 = 9,729.75 : x
  2. Step 2: Convert to fraction form
    28,447.63/42,676.50 = 9,729.75/x
  3. Step 3: Cross multiply
    28,447.63x = 42,676.50 × 9,729.75
  4. Step 4: Simplify right side
    28,447.63x = 415,231,675.88
  5. Step 5: Solve for x
    x = 415,231,675.88/28,447.63
  6. Step 6: Final answer
    x = 14,596.35

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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.