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Finding the Fourth Proportional to 7,604.70, 11,402.19 and 3,219.90

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Solution

The fourth proportional to 7,604.70, 11,402.19 and 3,219.90 is: 4,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.70 : 11,402.19 = 3,219.90 : x
  2. Step 2: Convert to fraction form
    7,604.70/11,402.19 = 3,219.90/x
  3. Step 3: Cross multiply
    7,604.70x = 11,402.19 × 3,219.90
  4. Step 4: Simplify right side
    7,604.70x = 36,713,911.58
  5. Step 5: Solve for x
    x = 36,713,911.58/7,604.70
  6. Step 6: Final answer
    x = 4,827.79

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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.