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Finding the Fourth Proportional to 3,630, 5,447.44 and 1,682.24

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Solution

The fourth proportional to 3,630, 5,447.44 and 1,682.24 is: 2,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630 : 5,447.44 = 1,682.24 : x
  2. Step 2: Convert to fraction form
    3,630/5,447.44 = 1,682.24/x
  3. Step 3: Cross multiply
    3,630x = 5,447.44 × 1,682.24
  4. Step 4: Simplify right side
    3,630x = 9,163,901.47
  5. Step 5: Solve for x
    x = 9,163,901.47/3,630
  6. Step 6: Final answer
    x = 2,524.49

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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.