Home / 1,542.72-2,127.88-1,122.64

Finding the Fourth Proportional to 1,542.72, 2,127.88 and 1,122.64

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Solution

The fourth proportional to 1,542.72, 2,127.88 and 1,122.64 is: 1,548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.72 : 2,127.88 = 1,122.64 : x
  2. Step 2: Convert to fraction form
    1,542.72/2,127.88 = 1,122.64/x
  3. Step 3: Cross multiply
    1,542.72x = 2,127.88 × 1,122.64
  4. Step 4: Simplify right side
    1,542.72x = 2,388,843.20
  5. Step 5: Solve for x
    x = 2,388,843.20/1,542.72
  6. Step 6: Final answer
    x = 1,548.46

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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.