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Finding the Fourth Proportional to 18,645.44, 27,968.16 and 12,784.28

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Solution

The fourth proportional to 18,645.44, 27,968.16 and 12,784.28 is: 19,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,645.44 : 27,968.16 = 12,784.28 : x
  2. Step 2: Convert to fraction form
    18,645.44/27,968.16 = 12,784.28/x
  3. Step 3: Cross multiply
    18,645.44x = 27,968.16 × 12,784.28
  4. Step 4: Simplify right side
    18,645.44x = 357,552,648.68
  5. Step 5: Solve for x
    x = 357,552,648.68/18,645.44
  6. Step 6: Final answer
    x = 19,176.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.