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Finding the Fourth Proportional to 19,684.78, 27,164.01 and 11,185.78

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Solution

The fourth proportional to 19,684.78, 27,164.01 and 11,185.78 is: 15,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.78 : 27,164.01 = 11,185.78 : x
  2. Step 2: Convert to fraction form
    19,684.78/27,164.01 = 11,185.78/x
  3. Step 3: Cross multiply
    19,684.78x = 27,164.01 × 11,185.78
  4. Step 4: Simplify right side
    19,684.78x = 303,850,639.78
  5. Step 5: Solve for x
    x = 303,850,639.78/19,684.78
  6. Step 6: Final answer
    x = 15,435.82

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1.5x scale

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.