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Finding the Fourth Proportional to 19,709, 27,199 and 10,757.08

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Solution

The fourth proportional to 19,709, 27,199 and 10,757.08 is: 14,845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709 : 27,199 = 10,757.08 : x
  2. Step 2: Convert to fraction form
    19,709/27,199 = 10,757.08/x
  3. Step 3: Cross multiply
    19,709x = 27,199 × 10,757.08
  4. Step 4: Simplify right side
    19,709x = 292,581,682.93
  5. Step 5: Solve for x
    x = 292,581,682.93/19,709
  6. Step 6: Final answer
    x = 14,845.08

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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.