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Finding the Fourth Proportional to 3,446.88, 5,170.36 and 849.81

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Solution

The fourth proportional to 3,446.88, 5,170.36 and 849.81 is: 1,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.88 : 5,170.36 = 849.81 : x
  2. Step 2: Convert to fraction form
    3,446.88/5,170.36 = 849.81/x
  3. Step 3: Cross multiply
    3,446.88x = 5,170.36 × 849.81
  4. Step 4: Simplify right side
    3,446.88x = 4,393,823.63
  5. Step 5: Solve for x
    x = 4,393,823.63/3,446.88
  6. Step 6: Final answer
    x = 1,274.72

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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.