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Finding the Fourth Proportional to 2,302.96, 3,449.64 and 1,912

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Solution

The fourth proportional to 2,302.96, 3,449.64 and 1,912 is: 2,864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.96 : 3,449.64 = 1,912 : x
  2. Step 2: Convert to fraction form
    2,302.96/3,449.64 = 1,912/x
  3. Step 3: Cross multiply
    2,302.96x = 3,449.64 × 1,912
  4. Step 4: Simplify right side
    2,302.96x = 6,595,711.68
  5. Step 5: Solve for x
    x = 6,595,711.68/2,302.96
  6. Step 6: Final answer
    x = 2,864.01

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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.