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Finding the Fourth Proportional to 3,209.09, 4,813.61 and 900.59

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Solution

The fourth proportional to 3,209.09, 4,813.61 and 900.59 is: 1,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.09 : 4,813.61 = 900.59 : x
  2. Step 2: Convert to fraction form
    3,209.09/4,813.61 = 900.59/x
  3. Step 3: Cross multiply
    3,209.09x = 4,813.61 × 900.59
  4. Step 4: Simplify right side
    3,209.09x = 4,335,060.46
  5. Step 5: Solve for x
    x = 4,335,060.46/3,209.09
  6. Step 6: Final answer
    x = 1,350.87

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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.