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Finding the Fourth Proportional to 18,172.71, 27,251.93 and 7,647.77

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Solution

The fourth proportional to 18,172.71, 27,251.93 and 7,647.77 is: 11,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,172.71 : 27,251.93 = 7,647.77 : x
  2. Step 2: Convert to fraction form
    18,172.71/27,251.93 = 7,647.77/x
  3. Step 3: Cross multiply
    18,172.71x = 27,251.93 × 7,647.77
  4. Step 4: Simplify right side
    18,172.71x = 208,416,318.20
  5. Step 5: Solve for x
    x = 208,416,318.20/18,172.71
  6. Step 6: Final answer
    x = 11,468.64

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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.