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Finding the Fourth Proportional to 2,674.64, 4,012.28 and 825.68

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Solution

The fourth proportional to 2,674.64, 4,012.28 and 825.68 is: 1,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.64 : 4,012.28 = 825.68 : x
  2. Step 2: Convert to fraction form
    2,674.64/4,012.28 = 825.68/x
  3. Step 3: Cross multiply
    2,674.64x = 4,012.28 × 825.68
  4. Step 4: Simplify right side
    2,674.64x = 3,312,859.35
  5. Step 5: Solve for x
    x = 3,312,859.35/2,674.64
  6. Step 6: Final answer
    x = 1,238.62

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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.