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Finding the Fourth Proportional to 5,493.73, 8,243.16 and 1,985.17

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Solution

The fourth proportional to 5,493.73, 8,243.16 and 1,985.17 is: 2,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.73 : 8,243.16 = 1,985.17 : x
  2. Step 2: Convert to fraction form
    5,493.73/8,243.16 = 1,985.17/x
  3. Step 3: Cross multiply
    5,493.73x = 8,243.16 × 1,985.17
  4. Step 4: Simplify right side
    5,493.73x = 16,364,073.94
  5. Step 5: Solve for x
    x = 16,364,073.94/5,493.73
  6. Step 6: Final answer
    x = 2,978.68

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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.