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Finding the Fourth Proportional to 28,446.63, 42,675 and 9,728.75

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Solution

The fourth proportional to 28,446.63, 42,675 and 9,728.75 is: 14,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,446.63 : 42,675 = 9,728.75 : x
  2. Step 2: Convert to fraction form
    28,446.63/42,675 = 9,728.75/x
  3. Step 3: Cross multiply
    28,446.63x = 42,675 × 9,728.75
  4. Step 4: Simplify right side
    28,446.63x = 415,174,192.88
  5. Step 5: Solve for x
    x = 415,174,192.88/28,446.63
  6. Step 6: Final answer
    x = 14,594.85

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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.