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Finding the Fourth Proportional to 27,156, 40,734.24 and 10,740

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Solution

The fourth proportional to 27,156, 40,734.24 and 10,740 is: 16,110.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,156 : 40,734.24 = 10,740 : x
  2. Step 2: Convert to fraction form
    27,156/40,734.24 = 10,740/x
  3. Step 3: Cross multiply
    27,156x = 40,734.24 × 10,740
  4. Step 4: Simplify right side
    27,156x = 437,485,737.60
  5. Step 5: Solve for x
    x = 437,485,737.60/27,156
  6. Step 6: Final answer
    x = 16,110.09

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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.