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Finding the Fourth Proportional to 3,676, 5,514.72 and 1,624

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Solution

The fourth proportional to 3,676, 5,514.72 and 1,624 is: 2,436.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676 : 5,514.72 = 1,624 : x
  2. Step 2: Convert to fraction form
    3,676/5,514.72 = 1,624/x
  3. Step 3: Cross multiply
    3,676x = 5,514.72 × 1,624
  4. Step 4: Simplify right side
    3,676x = 8,955,905.28
  5. Step 5: Solve for x
    x = 8,955,905.28/3,676
  6. Step 6: Final answer
    x = 2,436.32

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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.