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Finding the Fourth Proportional to 3,638.70, 5,456.70 and 1,446.98

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Solution

The fourth proportional to 3,638.70, 5,456.70 and 1,446.98 is: 2,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.70 : 5,456.70 = 1,446.98 : x
  2. Step 2: Convert to fraction form
    3,638.70/5,456.70 = 1,446.98/x
  3. Step 3: Cross multiply
    3,638.70x = 5,456.70 × 1,446.98
  4. Step 4: Simplify right side
    3,638.70x = 7,895,708.48
  5. Step 5: Solve for x
    x = 7,895,708.48/3,638.70
  6. Step 6: Final answer
    x = 2,169.93

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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.