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Finding the Fourth Proportional to 2,299.35, 3,449.41 and 912.70

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Solution

The fourth proportional to 2,299.35, 3,449.41 and 912.70 is: 1,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.35 : 3,449.41 = 912.70 : x
  2. Step 2: Convert to fraction form
    2,299.35/3,449.41 = 912.70/x
  3. Step 3: Cross multiply
    2,299.35x = 3,449.41 × 912.70
  4. Step 4: Simplify right side
    2,299.35x = 3,148,254.70
  5. Step 5: Solve for x
    x = 3,148,254.70/2,299.35
  6. Step 6: Final answer
    x = 1,369.19

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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.