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Finding the Fourth Proportional to 19,725, 27,220.50 and 10,893

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Solution

The fourth proportional to 19,725, 27,220.50 and 10,893 is: 15,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,725 : 27,220.50 = 10,893 : x
  2. Step 2: Convert to fraction form
    19,725/27,220.50 = 10,893/x
  3. Step 3: Cross multiply
    19,725x = 27,220.50 × 10,893
  4. Step 4: Simplify right side
    19,725x = 296,512,906.50
  5. Step 5: Solve for x
    x = 296,512,906.50/19,725
  6. Step 6: Final answer
    x = 15,032.34

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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.