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Finding the Fourth Proportional to 3,638.55, 5,458.17 and 1,446.78

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Solution

The fourth proportional to 3,638.55, 5,458.17 and 1,446.78 is: 2,170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.55 : 5,458.17 = 1,446.78 : x
  2. Step 2: Convert to fraction form
    3,638.55/5,458.17 = 1,446.78/x
  3. Step 3: Cross multiply
    3,638.55x = 5,458.17 × 1,446.78
  4. Step 4: Simplify right side
    3,638.55x = 7,896,771.19
  5. Step 5: Solve for x
    x = 7,896,771.19/3,638.55
  6. Step 6: Final answer
    x = 2,170.31

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1.5x scale

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.