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Finding the Fourth Proportional to 3,209.22, 4,813.80 and 900.72

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Solution

The fourth proportional to 3,209.22, 4,813.80 and 900.72 is: 1,351.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.22 : 4,813.80 = 900.72 : x
  2. Step 2: Convert to fraction form
    3,209.22/4,813.80 = 900.72/x
  3. Step 3: Cross multiply
    3,209.22x = 4,813.80 × 900.72
  4. Step 4: Simplify right side
    3,209.22x = 4,335,882.56
  5. Step 5: Solve for x
    x = 4,335,882.56/3,209.22
  6. Step 6: Final answer
    x = 1,351.07

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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.