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Finding the Fourth Proportional to 3,456.78, 4,770.36 and 1,884.90

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Solution

The fourth proportional to 3,456.78, 4,770.36 and 1,884.90 is: 2,601.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.78 : 4,770.36 = 1,884.90 : x
  2. Step 2: Convert to fraction form
    3,456.78/4,770.36 = 1,884.90/x
  3. Step 3: Cross multiply
    3,456.78x = 4,770.36 × 1,884.90
  4. Step 4: Simplify right side
    3,456.78x = 8,991,651.56
  5. Step 5: Solve for x
    x = 8,991,651.56/3,456.78
  6. Step 6: Final answer
    x = 2,601.16

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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.