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Finding the Fourth Proportional to 17,692, 26,542.80 and 5,380

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Solution

The fourth proportional to 17,692, 26,542.80 and 5,380 is: 8,071.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,692 : 26,542.80 = 5,380 : x
  2. Step 2: Convert to fraction form
    17,692/26,542.80 = 5,380/x
  3. Step 3: Cross multiply
    17,692x = 26,542.80 × 5,380
  4. Step 4: Simplify right side
    17,692x = 142,800,264
  5. Step 5: Solve for x
    x = 142,800,264/17,692
  6. Step 6: Final answer
    x = 8,071.46

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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.