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Finding the Fourth Proportional to 9,750.80, 14,625.12 and 2,825.30

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Solution

The fourth proportional to 9,750.80, 14,625.12 and 2,825.30 is: 4,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.80 : 14,625.12 = 2,825.30 : x
  2. Step 2: Convert to fraction form
    9,750.80/14,625.12 = 2,825.30/x
  3. Step 3: Cross multiply
    9,750.80x = 14,625.12 × 2,825.30
  4. Step 4: Simplify right side
    9,750.80x = 41,320,351.54
  5. Step 5: Solve for x
    x = 41,320,351.54/9,750.80
  6. Step 6: Final answer
    x = 4,237.64

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1.5x scale

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.