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Finding the Fourth Proportional to 27,006, 40,527 and 10,379.76

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Solution

The fourth proportional to 27,006, 40,527 and 10,379.76 is: 15,576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,006 : 40,527 = 10,379.76 : x
  2. Step 2: Convert to fraction form
    27,006/40,527 = 10,379.76/x
  3. Step 3: Cross multiply
    27,006x = 40,527 × 10,379.76
  4. Step 4: Simplify right side
    27,006x = 420,660,533.52
  5. Step 5: Solve for x
    x = 420,660,533.52/27,006
  6. Step 6: Final answer
    x = 15,576.56

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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.