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Finding the Fourth Proportional to 1,540.48, 2,124.48 and 1,067.64

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Solution

The fourth proportional to 1,540.48, 2,124.48 and 1,067.64 is: 1,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.48 : 2,124.48 = 1,067.64 : x
  2. Step 2: Convert to fraction form
    1,540.48/2,124.48 = 1,067.64/x
  3. Step 3: Cross multiply
    1,540.48x = 2,124.48 × 1,067.64
  4. Step 4: Simplify right side
    1,540.48x = 2,268,179.83
  5. Step 5: Solve for x
    x = 2,268,179.83/1,540.48
  6. Step 6: Final answer
    x = 1,472.39

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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.