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Finding the Fourth Proportional to 2,066.68, 3,101.24 and 912.44

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Solution

The fourth proportional to 2,066.68, 3,101.24 and 912.44 is: 1,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.68 : 3,101.24 = 912.44 : x
  2. Step 2: Convert to fraction form
    2,066.68/3,101.24 = 912.44/x
  3. Step 3: Cross multiply
    2,066.68x = 3,101.24 × 912.44
  4. Step 4: Simplify right side
    2,066.68x = 2,829,695.43
  5. Step 5: Solve for x
    x = 2,829,695.43/2,066.68
  6. Step 6: Final answer
    x = 1,369.20

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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.