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Finding the Fourth Proportional to 1,791.88, 2,473.54 and 1,542.22

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Solution

The fourth proportional to 1,791.88, 2,473.54 and 1,542.22 is: 2,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.88 : 2,473.54 = 1,542.22 : x
  2. Step 2: Convert to fraction form
    1,791.88/2,473.54 = 1,542.22/x
  3. Step 3: Cross multiply
    1,791.88x = 2,473.54 × 1,542.22
  4. Step 4: Simplify right side
    1,791.88x = 3,814,742.86
  5. Step 5: Solve for x
    x = 3,814,742.86/1,791.88
  6. Step 6: Final answer
    x = 2,128.91

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1.5x scale

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.