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Finding the Fourth Proportional to 2,814, 3,884.76 and 1,767.12

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Solution

The fourth proportional to 2,814, 3,884.76 and 1,767.12 is: 2,439.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814 : 3,884.76 = 1,767.12 : x
  2. Step 2: Convert to fraction form
    2,814/3,884.76 = 1,767.12/x
  3. Step 3: Cross multiply
    2,814x = 3,884.76 × 1,767.12
  4. Step 4: Simplify right side
    2,814x = 6,864,837.09
  5. Step 5: Solve for x
    x = 6,864,837.09/2,814
  6. Step 6: Final answer
    x = 2,439.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.