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Finding the Fourth Proportional to 3,311.76, 4,965.90 and 1,461.96

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Solution

The fourth proportional to 3,311.76, 4,965.90 and 1,461.96 is: 2,192.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.76 : 4,965.90 = 1,461.96 : x
  2. Step 2: Convert to fraction form
    3,311.76/4,965.90 = 1,461.96/x
  3. Step 3: Cross multiply
    3,311.76x = 4,965.90 × 1,461.96
  4. Step 4: Simplify right side
    3,311.76x = 7,259,947.16
  5. Step 5: Solve for x
    x = 7,259,947.16/3,311.76
  6. Step 6: Final answer
    x = 2,192.17

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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.