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Finding the Fourth Proportional to 5,142.24, 7,714 and 1,854.48

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Solution

The fourth proportional to 5,142.24, 7,714 and 1,854.48 is: 2,781.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.24 : 7,714 = 1,854.48 : x
  2. Step 2: Convert to fraction form
    5,142.24/7,714 = 1,854.48/x
  3. Step 3: Cross multiply
    5,142.24x = 7,714 × 1,854.48
  4. Step 4: Simplify right side
    5,142.24x = 14,305,458.72
  5. Step 5: Solve for x
    x = 14,305,458.72/5,142.24
  6. Step 6: Final answer
    x = 2,781.95

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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.