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Finding the Fourth Proportional to 19,740, 27,238.04 and 11,242.28

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Solution

The fourth proportional to 19,740, 27,238.04 and 11,242.28 is: 15,512.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,740 : 27,238.04 = 11,242.28 : x
  2. Step 2: Convert to fraction form
    19,740/27,238.04 = 11,242.28/x
  3. Step 3: Cross multiply
    19,740x = 27,238.04 × 11,242.28
  4. Step 4: Simplify right side
    19,740x = 306,217,672.33
  5. Step 5: Solve for x
    x = 306,217,672.33/19,740
  6. Step 6: Final answer
    x = 15,512.55

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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.