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Finding the Fourth Proportional to 3,290.56, 4,936.92 and 1,646.98

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Solution

The fourth proportional to 3,290.56, 4,936.92 and 1,646.98 is: 2,471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.56 : 4,936.92 = 1,646.98 : x
  2. Step 2: Convert to fraction form
    3,290.56/4,936.92 = 1,646.98/x
  3. Step 3: Cross multiply
    3,290.56x = 4,936.92 × 1,646.98
  4. Step 4: Simplify right side
    3,290.56x = 8,131,008.50
  5. Step 5: Solve for x
    x = 8,131,008.50/3,290.56
  6. Step 6: Final answer
    x = 2,471.01

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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.