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Finding the Fourth Proportional to 19,984.70, 27,578.72 and 11,032.20

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Solution

The fourth proportional to 19,984.70, 27,578.72 and 11,032.20 is: 15,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984.70 : 27,578.72 = 11,032.20 : x
  2. Step 2: Convert to fraction form
    19,984.70/27,578.72 = 11,032.20/x
  3. Step 3: Cross multiply
    19,984.70x = 27,578.72 × 11,032.20
  4. Step 4: Simplify right side
    19,984.70x = 304,253,954.78
  5. Step 5: Solve for x
    x = 304,253,954.78/19,984.70
  6. Step 6: Final answer
    x = 15,224.34

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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.