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Finding the Fourth Proportional to 7,172.73, 9,898.04 and 3,986.24

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Solution

The fourth proportional to 7,172.73, 9,898.04 and 3,986.24 is: 5,500.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.73 : 9,898.04 = 3,986.24 : x
  2. Step 2: Convert to fraction form
    7,172.73/9,898.04 = 3,986.24/x
  3. Step 3: Cross multiply
    7,172.73x = 9,898.04 × 3,986.24
  4. Step 4: Simplify right side
    7,172.73x = 39,455,893.55
  5. Step 5: Solve for x
    x = 39,455,893.55/7,172.73
  6. Step 6: Final answer
    x = 5,500.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.