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Finding the Fourth Proportional to 2,402.46, 3,604.50 and 1,169.64

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Solution

The fourth proportional to 2,402.46, 3,604.50 and 1,169.64 is: 1,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.46 : 3,604.50 = 1,169.64 : x
  2. Step 2: Convert to fraction form
    2,402.46/3,604.50 = 1,169.64/x
  3. Step 3: Cross multiply
    2,402.46x = 3,604.50 × 1,169.64
  4. Step 4: Simplify right side
    2,402.46x = 4,215,967.38
  5. Step 5: Solve for x
    x = 4,215,967.38/2,402.46
  6. Step 6: Final answer
    x = 1,754.85

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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.