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Finding the Fourth Proportional to 19,212, 26,512.56 and 10,380

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Solution

The fourth proportional to 19,212, 26,512.56 and 10,380 is: 14,324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,212 : 26,512.56 = 10,380 : x
  2. Step 2: Convert to fraction form
    19,212/26,512.56 = 10,380/x
  3. Step 3: Cross multiply
    19,212x = 26,512.56 × 10,380
  4. Step 4: Simplify right side
    19,212x = 275,200,372.80
  5. Step 5: Solve for x
    x = 275,200,372.80/19,212
  6. Step 6: Final answer
    x = 14,324.40

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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.