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Finding the Fourth Proportional to 11,588, 17,385.20 and 3,380

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Solution

The fourth proportional to 11,588, 17,385.20 and 3,380 is: 5,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588 : 17,385.20 = 3,380 : x
  2. Step 2: Convert to fraction form
    11,588/17,385.20 = 3,380/x
  3. Step 3: Cross multiply
    11,588x = 17,385.20 × 3,380
  4. Step 4: Simplify right side
    11,588x = 58,761,976
  5. Step 5: Solve for x
    x = 58,761,976/11,588
  6. Step 6: Final answer
    x = 5,070.93

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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.