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Finding the Fourth Proportional to 19,857.68, 27,404.03 and 10,905.77

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Solution

The fourth proportional to 19,857.68, 27,404.03 and 10,905.77 is: 15,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.68 : 27,404.03 = 10,905.77 : x
  2. Step 2: Convert to fraction form
    19,857.68/27,404.03 = 10,905.77/x
  3. Step 3: Cross multiply
    19,857.68x = 27,404.03 × 10,905.77
  4. Step 4: Simplify right side
    19,857.68x = 298,861,856.70
  5. Step 5: Solve for x
    x = 298,861,856.70/19,857.68
  6. Step 6: Final answer
    x = 15,050.19

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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.