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Finding the Fourth Proportional to 3,404, 4,697.52 and 1,911.90

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Solution

The fourth proportional to 3,404, 4,697.52 and 1,911.90 is: 2,638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404 : 4,697.52 = 1,911.90 : x
  2. Step 2: Convert to fraction form
    3,404/4,697.52 = 1,911.90/x
  3. Step 3: Cross multiply
    3,404x = 4,697.52 × 1,911.90
  4. Step 4: Simplify right side
    3,404x = 8,981,188.49
  5. Step 5: Solve for x
    x = 8,981,188.49/3,404
  6. Step 6: Final answer
    x = 2,638.42

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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.