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Finding the Fourth Proportional to 28,250.50, 42,375.76 and 9,782.50

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Solution

The fourth proportional to 28,250.50, 42,375.76 and 9,782.50 is: 14,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,250.50 : 42,375.76 = 9,782.50 : x
  2. Step 2: Convert to fraction form
    28,250.50/42,375.76 = 9,782.50/x
  3. Step 3: Cross multiply
    28,250.50x = 42,375.76 × 9,782.50
  4. Step 4: Simplify right side
    28,250.50x = 414,540,872.20
  5. Step 5: Solve for x
    x = 414,540,872.20/28,250.50
  6. Step 6: Final answer
    x = 14,673.75

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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.