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Finding the Fourth Proportional to 3,012.64, 4,519.44 and 932.56

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Solution

The fourth proportional to 3,012.64, 4,519.44 and 932.56 is: 1,398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.64 : 4,519.44 = 932.56 : x
  2. Step 2: Convert to fraction form
    3,012.64/4,519.44 = 932.56/x
  3. Step 3: Cross multiply
    3,012.64x = 4,519.44 × 932.56
  4. Step 4: Simplify right side
    3,012.64x = 4,214,648.97
  5. Step 5: Solve for x
    x = 4,214,648.97/3,012.64
  6. Step 6: Final answer
    x = 1,398.99

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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.