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Finding the Fourth Proportional to 3,662.31, 5,493.74 and 1,323.70

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Solution

The fourth proportional to 3,662.31, 5,493.74 and 1,323.70 is: 1,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.31 : 5,493.74 = 1,323.70 : x
  2. Step 2: Convert to fraction form
    3,662.31/5,493.74 = 1,323.70/x
  3. Step 3: Cross multiply
    3,662.31x = 5,493.74 × 1,323.70
  4. Step 4: Simplify right side
    3,662.31x = 7,272,063.64
  5. Step 5: Solve for x
    x = 7,272,063.64/3,662.31
  6. Step 6: Final answer
    x = 1,985.65

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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.