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Finding the Fourth Proportional to 3,942.22, 5,905.95 and 3,536.50

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Solution

The fourth proportional to 3,942.22, 5,905.95 and 3,536.50 is: 5,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.22 : 5,905.95 = 3,536.50 : x
  2. Step 2: Convert to fraction form
    3,942.22/5,905.95 = 3,536.50/x
  3. Step 3: Cross multiply
    3,942.22x = 5,905.95 × 3,536.50
  4. Step 4: Simplify right side
    3,942.22x = 20,886,392.18
  5. Step 5: Solve for x
    x = 20,886,392.18/3,942.22
  6. Step 6: Final answer
    x = 5,298.13

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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.