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Finding the Fourth Proportional to 2,312.81, 3,467.39 and 851.16

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Solution

The fourth proportional to 2,312.81, 3,467.39 and 851.16 is: 1,276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.81 : 3,467.39 = 851.16 : x
  2. Step 2: Convert to fraction form
    2,312.81/3,467.39 = 851.16/x
  3. Step 3: Cross multiply
    2,312.81x = 3,467.39 × 851.16
  4. Step 4: Simplify right side
    2,312.81x = 2,951,299.42
  5. Step 5: Solve for x
    x = 2,951,299.42/2,312.81
  6. Step 6: Final answer
    x = 1,276.07

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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.