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Finding the Fourth Proportional to 9,500.20, 14,250.90 and 3,656.80

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Solution

The fourth proportional to 9,500.20, 14,250.90 and 3,656.80 is: 5,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.20 : 14,250.90 = 3,656.80 : x
  2. Step 2: Convert to fraction form
    9,500.20/14,250.90 = 3,656.80/x
  3. Step 3: Cross multiply
    9,500.20x = 14,250.90 × 3,656.80
  4. Step 4: Simplify right side
    9,500.20x = 52,112,691.12
  5. Step 5: Solve for x
    x = 52,112,691.12/9,500.20
  6. Step 6: Final answer
    x = 5,485.43

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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.