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Finding the Fourth Proportional to 2,199.87, 3,299.81 and 900.45

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Solution

The fourth proportional to 2,199.87, 3,299.81 and 900.45 is: 1,350.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.87 : 3,299.81 = 900.45 : x
  2. Step 2: Convert to fraction form
    2,199.87/3,299.81 = 900.45/x
  3. Step 3: Cross multiply
    2,199.87x = 3,299.81 × 900.45
  4. Step 4: Simplify right side
    2,199.87x = 2,971,309.41
  5. Step 5: Solve for x
    x = 2,971,309.41/2,199.87
  6. Step 6: Final answer
    x = 1,350.68

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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.