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Finding the Fourth Proportional to 19,744, 27,246.72 and 10,912

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Solution

The fourth proportional to 19,744, 27,246.72 and 10,912 is: 15,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,744 : 27,246.72 = 10,912 : x
  2. Step 2: Convert to fraction form
    19,744/27,246.72 = 10,912/x
  3. Step 3: Cross multiply
    19,744x = 27,246.72 × 10,912
  4. Step 4: Simplify right side
    19,744x = 297,316,208.64
  5. Step 5: Solve for x
    x = 297,316,208.64/19,744
  6. Step 6: Final answer
    x = 15,058.56

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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.