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Finding the Fourth Proportional to 2,354.52, 3,249.11 and 1,410.80

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Solution

The fourth proportional to 2,354.52, 3,249.11 and 1,410.80 is: 1,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.52 : 3,249.11 = 1,410.80 : x
  2. Step 2: Convert to fraction form
    2,354.52/3,249.11 = 1,410.80/x
  3. Step 3: Cross multiply
    2,354.52x = 3,249.11 × 1,410.80
  4. Step 4: Simplify right side
    2,354.52x = 4,583,844.39
  5. Step 5: Solve for x
    x = 4,583,844.39/2,354.52
  6. Step 6: Final answer
    x = 1,946.83

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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.